It does help for a few reasons. Jesus' entry extended throughout the whole sanctuary, or He could not inaugurate.
Certainly that was also true of Moses - but it did not delete the Day of Atonement and did not leave the MHP open for all the daily services during the year.
However when we look at Heb 6 we do not see any focus at all on "inauguration" or on "Day of Atonement".
Heb 6:
17 In the same way God, desiring even more to demonstrate to the heirs of the promise the fact that His purpose is unchangeable, confirmed it with an oath, 18 so that by two unchangeable things in which it is impossible for God to lie, we who have taken refuge would have strong encouragement to hold firmly to the hope set before us. 19
This hope we have as an anchor of the soul, a hope both sure and reliable and
one which enters within the veil, 20 where Jesus has entered as a forerunner for us, having become a high priest forever according to the order of Melchizedek.
Paul does not point to inauguration or judgment or Day of Atonement in Heb 6 - He points to the daily ministry of Christ as High Priest in Heb 6:
Heb4:
14 Therefore, since we have a great
high priest who has passed through the heavens, Jesus the Son of God, let’s hold firmly to our confession. 15 For we do not have
a high priest who cannot sympathize with our weaknesses, but One who has been tempted in all things just as
we are, yet without sin. 16 Therefore
let’s approach the throne of grace with confidence, so that we may receive mercy and find grace for help at the time of our need.
Heb 7:
24 Jesus, on the other hand, because He continues forever,
holds His priesthood permanently. 25 Therefore
He is also able to save forever those who come to God through Him, since He always lives to make intercession for them.
26 For it was fitting for
us to have such a high priest, holy, innocent, undefiled, separated from sinners, and exalted above the heavens; 27 who has
no daily need, like those high priests, to
offer up sacrifices, first for His own sins and then for the
sins of the people, because He did this once for all
time when
He offered up Himself.
Paul points to the ongoing daily ministry work of Christ as High Priest in the book of Hebrews.
It leaves you with a Day of Atonement service in 1844 and a two phase sanctuary model as God gave it.