For example if “you say my house voted for candidate X” it doesn't mean your newborn voted, if you had one.
In Acts 10:24, When Cornelius was awaiting Peter and his message it was the adults that he called together and they were baptized. This occurred in Cornelius’ home. Were children present? Unknown but if so they weren't baptized when Cornelius’ friends and relatives were.
In Acts 2:37-47 describes adults doing this and such not children or babes in arms even though they were likely present.
In Acts 2:38 Peter tells the crowd, specifically the men,
‘Repent and be baptized’ yet what did little children or infants have to repent of? How could they make a turn around in their actions?
Like the infants and children of Noah's time they perished or lived according to the merit of their parents.
Whenever it can be clearly established it is adults that being baptized, being made disciples, “embracing the word heartily”, etc.
So when we see Households we must ask just how narrowly the writer is using this term since it can be applied to just the adults.
Sorry, not buying your commentary as neither passage ever says that only adults were baptized.
Children do not act for themselves. Parents act and speak for them, and that would include having them baptized.
Remember, to the Jewish people, the children did carry the sins of their parents so it would not have seemed wrong to have little ones baptized.