According to this, if there were infants in the household, then they were woken up in the middle of the night and brought before Paul and Silas so they could have the word of the Lord spoken to them, because they spoke the word of the Lord to him together with ALL who were in his house.
As well, in vs. 34 it said the whole household believed in God, including these super infants who had the capacity during their infancy to believe the word of the Lord spoken to them. It's a desperate attempt to retroactively and artificially force a later development into the scriptures, and as expected something that wasn't there originally, clashes with everything in the original text, like when they do a really bad movie prequel.
It is impossible to interpret the Gospels apart from Hebrew Scripture.
I suggest you consider how the term 'household' was used in the Scripture in use at the time.
Genesis 7:1 "Then the LORD said to Noah, "Come into the ark, you and all your household, because I have seen
that you
are righteous before Me in this generation." (
Note in this instance that the word "you" is singular, referring to Noah only. Yet, by virtue of Noah's righteousness, his whole family is taken into the ark. Peter compares this event to Baptism in 1 Peter 3:20,21)
Genesis 12:17 "But the LORD plagued Pharaoh and his house with great plagues because of Sarai, Abram's wife."
Genesis 18:19 "For I have known him, in order that he may command his children and his household after him, that they keep the way of the LORD, to do righteousness and justice, that the LORD may bring to Abraham what He has spoken to him."
Deuteronomy 14:26 "And you shall spend that money for whatever your heart desires: for oxen or sheep, for wine or similar drink, for whatever your heart desires; you shall eat there before the LORD your God, and you shall rejoice, you and your household."
Joshua 24:15 "And if it seems evil to you to serve the LORD, choose for yourselves this day whom you will serve, whether the gods which your fathers served that
were on the other side of the River, or the gods of the Amorites, in whose land you dwell. But as for me and my house, we will serve the LORD."
1 Samuel 25:6 "And thus you shall say to him who lives
inprosperity: 'Peace
be to you, peace to your house, and peace to all that you have!"
These passages speak of houses being blessed or condemned by virtue of the spiritual status of the head of that household. Joshua, cited above, even takes responsibility not only for his own serving the Lord, but for his family's as well.
And just as significant are those passages that mention the household but explicitly
exclude children:
Genesis 50:7-8 "So Joseph went up to bury his father; and with him went up all the servants of Pharaoh, the elders of his house, and all the elders of the land of Egypt, as well as all the house of Joseph, his
brothers, and his father's house.
Only their little ones, their flocks, and their herds they left in the land of Goshen."
1 Samuel 1:21,22 "Now the man Elkanah and all his house went up to offer to the LORD the yearly sacrifice and his vow. But Hannah did not go up, for she said to her husband, '
Not until the child is weaned; then I will take him, that he may appear before the LORD and remain there forever.'"
The exceptions prove the rule. In both of the above cases, when the biblical writer mentions the entire household, he feels the need to point out
in this case that the children are not included. He would not point this out unless the term "house"
presumed otherwise.
The phrase "he and his (whole) house" denotes the complete family; normally husband, wife and children.
In the Gospels are found a heritage from biblical language.
Even if it could be historically proven that
every household baptism of the New Testament was -- by some fluke -- a baptism of a household with no very young children -- even that would be irrelevant. The point of the household language is that children, if any, are included unless explicitly excluded. If the Holy Spirit had meant to exclude children from baptism, the Scriptures would have to say, "[So and so] and his household were baptized, all who were at an age of understanding and could credibly profess their faith."
Matthew 10:12-14 "And when you go into a household, greet it. If the household is worthy, let your peace come upon it. But if it is not worthy, let your peace return to you. And whoever will not receive you nor hear your words, when you depart from that house or city, shake off the dust from your feet."