Catholics have long held that household baptism meant infant baptism, but it actually disproves infant baptism. Hear me out on this one. The Greek words and Hebrew in the Old Testament make a distinction between family and household. They arent the same words and mean different things.
Family includes infants but household does not. Greek uses household to exclude infants. The word household defeats infant baptism rather easily.
Consider Genesis 15:3 where Abram had no children of his own but he did have a household. He had no seed at that point but one of his household was heir. So household can be without infants and doesn't mean family. It is common for Catholics to argue households often had infants, but what they really mean is families had infants. It was common for infants to be in families, but household doesn't mean family, and excludes infants.
Another example is John 4:49-54, Jesus healed a son of a man who had servants, and it says his household believed. The word household is economic, those participating economically, such as servants. household does not mean infants who do not cooperate or participate in economic interests. Infants benefit but do not actively participate in shared economic endeavors. Families without infants can participate in households, Heb 11:7 calls Noah's family a household, but there are no infants in that household. Abraham and Noah both demonstrate households without infants, and Noah's baptism did not imply infants since there were none.
The eating of the passover in Exodus 12 also excludes infants, they killed lambs for each household but were numbered according to who ate. Infants were not in the numbering as they did not participate in eating the lambs.