From another commentary:
"As long as he is a child - Until he arrives at the age. The word rendered "child" (νήπιοι nēpioi) properly means an infant; literally, "one not speaking" (νη nē insep. un, ἔπος epos), and hence, a child or babe, but without any definite limitation - Robinson. It is used as the word "infant" is with us in law, to denote "a minor." In human affairs the condition of a minor is antecedent to the enjoyment of the liberty and the civil rights which accrue to him on coming of age. He is a son and an heir, but during minority his position is that of a slave."
So you agree here we have atleast one example in scripture where it clearly teaches baptism before the age of "accountability" clearly calling the "heir" an infant. And in the original Greek it is clear no need for mental gymnastics even mentioning the Greco- Roman system of education where the wealthy would hire tutors (usually slaves or freedmen) from the age of toddler to about 10 years old.
This verse has INTENTIONALLY been mistranslated, no where does it speak of child which would have used the word teknon as it is elsewhere. But ending chapter 3 at verse 27 itself is a manipulation to disguise what is obviously being said.
There is no need for mental gymnastics when any native Greek speaker knows exactly what is being implied for millenia.
It doesn't say there were infants. I don't have infants in my house, do you?
Paul already includes everyone in the household. Paul never said, "all your adult household", nor did he ever say, "all your household except the kids"...
Before Paul ever asked the jail keeper whether he even had a family or whether it constituted children he made clear it will save his entire household full stop. Paul didnt care if he had babies or only adults. He made clear it's for his household:
Acts 16:30- And he brought them out and said, “Sirs, what must I do to be saved?”
31 So they said, “Believe on the Lord Jesus Christ, and you will be saved, you and your household.
In the case of Lydia's household there isn't even a mention of any prerequisites for the household to follow:
Acts 16: 14 Now a certain woman named Lydia heard
us. She was a seller of purple from the city of Thyatira, who worshiped God.
The Lord opened her heart to heed the things spoken by Paul. 15 And when she and her household were baptized, she begged
us, saying, “If you have judged me to be faithful to the Lord, come to my house and stay.
Nowhere does scripture create a false dichotomy between young and old. In the near east the entire household takes direction from the head and households include the children not just the adult relatives and slaves under the roof.
It's even brought home in 1Corinthians:
10 Moreover, brethren, I do not want you to be unaware that all our fathers were under the cloud, all passed through the sea,
2 all were baptized into Moses in the cloud and in the sea, 3 all ate the same spiritual food, 4 and all drank the same spiritual drink. For they drank of that spiritual Rock that followed them, and that Rock was Christ.
You think they left the babies and women behind??? That the word "all our fathers" was meant to excluded everyone except for the adult male Hebrews?