What I have demonstrated is that your assertion that the reason for its lack was the sabbatarianism of the Puritans to be wrong. Why did they lacked central heating? Who knows, but it wasn't their view of sabbatarianism.
Would you care to give me some idea as to why you think the New England meetinghouses of the seventeenth and eighteenth centuries were constructed without heating? I offer the following possibilities and am open to other suggestions, as well:
1. They carried on the building tradition of English meetinghouses, which did not require heating because of the moderate climate. There was no tradition in England of meetinghouses for Puritans and the New England frame meetinghouse was architecturally and constructionally vastly different than anything in England.
2. The climate of New England was milder at the time such that heating was a luxury and not a necessity, given the one-hour Sunday morning services. This is not true. There was one year in the eighteenth century in which every month had a hard frost in New England. There are records of church members suffering frostbite during the winter. Puritan services typically ran from sunrise to sunset with a break for dinner at midday.
3. Efficient heating methods for public buildings had not been devised. Although heating methods were considerably less efficient than those currently employed, public buildings were heated, including places of public assembly such as courthouses and legislative buildings.
4. There was a great fear of conflagration such that the Puritans chose unheated buildings rather than the risk of fire. Although buildings did burn down on a fairly frequent basis, the fear of fire did not keep them from using heating in all other manner of buildings.
5. It was a cultural tradition not to heat churches and meetinghouses. As noted above, the New England meetinghouse was a radical architectural innovation unlike anything in England, so the cultural ties in all other aspects of the meetinghouse are virtually non-existant.
6. There just might have been a religious motivation. This has been discussed heretofore.
The congregation sings the psalms as we are told to do so in Ephesians 5:19 and Colossians 3:16.
"speaking to one another in psalms and hymns and spiritual songs, singing and making melody with your heart to the Lord;" Ephesians 5:19
"Let the word of God richly dwell within you. with all wisdom teaching and admonishing one another with psalms and hymns and spiritual songs, singing with thankfulness in your hearts to God." Colossians 3:16
In Ephesians there is nothing concerning any instruction for the congregation as a body to sing. Instead, Paul commences by tell them to speak to one another. Then he instructs them to sing and make melody with their heart (note it is singular) to the Lord.
In Colossians he instructs them to teach and admonish each other with psalms and hymns and spiritual songs. Again he tells them to sing with thankfulness in their hearts (plural) to the Lord.
Because God has not commanded congregational singing, shall we presume that He accepts it as proper worship?
John Gill writes
A Discourse on Singing of Psalms as a Part of Divine Worship:
...what I shall chiefly attend to, will be to prove that gospel churches, or the churches of Christ, under the gospel dispensation, ought to sing the praises of God vocally; and this I shall do from the following considerations.
1. From the prophecies of the Old Testament, which declare, that the churches, in gospel times, should sing; and in which they are called upon, exhorted, and encouraged to do it. In many of the psalms, which respect the times of the Messiah, and the gathering of the Gentiles to him under the gospel dispensation, such as the 47th, 68th, and 95th, the people of God are frequently invited to sing praise unto him, and make a joyful noise unto him with psalms. Likewise, in the prophecies of Isaiah (Isa. 52:7, 8, 9; 35:1, 2, 6, 10; 26:1; 54:1) it is declared, that not only the watchmen, gospel ministers, such whose feet are beautiful on the mountains, who bring good tidings, and publish peace and salvation, shall lift up the voice, and that with the voice together shall they sing; but also the churches under their care, and such souls they are made useful to, are called upon to break forth into joy, and sing together; yea, it is promised, that the Gentile church, under the name of the wilderness, and solitary place, shall be glad and rejoice, even with joy and singing; that even the tongue of the dumb shall sing, and the ransomed of the Lord return, and come to Zion with songs and everlasting joy upon their heads.
Moreover, that in that day, meaning the gospel day, shall this song be sung in the land of Judah, in the gospel church: We have a strong city; salvation will God appoint for walls and bulwarks. To add no more; how expressly is the Gentile church exhorted and encouraged to this work, in another part of these prophecies? where it is said, Sing, O barren, thou that didst not bear; break forth into singing; and cry aloud, thou that didst not travail with child; for more are the children of the desolate than the children of the married wise, saith the Lord. Blessed be God, these predictions are, in a great measure, fulfilled; gospel churches among the Gentiles, as well as in the land of Judea, have lift up their voices, and sung the praises of God according to these prophecies; which is, at once, a confirmation of the authority of the scriptures, and of the truth of this ordinance.
But,
2. I prove it to be a duty incumbent on gospel churches, under the New Testament dispensation, from express precepts and directions given to them concerning it. It is not only prophesied of in the Old Testament, but it is also commanded in the New, that they should sing. The church at Ephesus was a gospel church, as was also that at Colosse; and they are both expressly enjoined as such, by the Apostle Paul, who in this, as in their things, had the mind of Christ to sing psalms, hymns, and spiritual songs (Eph. 5:19; Col. 3:16). Besides, if singing was not a duty belonging to New Testament churches, why should any directions about it be given to them? such as to sing with grace in their hearts, with the spirit, and with the understanding; and to do it in such a manner, so as to speak to themselves, and to teach and admonish one another (1 Cor. 14:15; Eph. 5:19; Col. 3:16).
3. That New Testament churches should sing, will more fully appear from New Testament instances and examples. There are not only prophecies and precepts, but also precedents in favor of this practice; and the first instance of this kind I shall mention, is, that of Christ and his Apostles, who sung an hymn, as a church, at the close of the Lords supper; of this the evangelist assures us; When they had sung an hymn, says he, they went out unto the mount of olives (Matthew 26:30): Our ears are continually dinned, by those who are of a different mind from us, with an old translation, in which, they say, the words are rendered, When they had given thanks. But, First, This work was done already; he, i.e. Christ, took the cup, and gave thanks.
This is all quite instructive, of course. However, one cannot definitively state that any of the cited Old Testament references were intended for the weekly worship services of the Church. I have addressed the Ephesians and Colossians verses above, but would also note that when an assembly of people are singing the same song together it is quite impossible for them to be speaking to one another or teaching one another. As for the singing of the Psalms at the last supper, this is not a surprise at all. Every Seder meal incorporates the singing of Psalms. This is a familial activity unassociated with synagogue worship. To typify this singular event as a commandment for the church of God in its worship services is similar to the Papists taking the Magnificat (Luke1:46-55) and turning it into a prayer.
Not really, as I noted before, the order of service is not governed by the RPW only the elements of worship. You disagree with how a friend of mine interprets Levitcus 9, fine and dandy, but that simply means you disagree with his order of service, which isn't governed by the RPW anyway.