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.
But in every instance where baptism is described there is a process, make the disciple, baptize, instruct further and teach. and that was of adults.
This was the pattern Jesus himself set, disciple, baptize, teach.
Not a single instance of a child being baptized can be found in Scripture. Not one.
Only believers get baptized in the scriptures...
Act 8:36 And as they went on their way, they came unto a certain water: and the eunuch said, See, here is water; what doth hinder me to be baptized?
Act 8:37 And Philip said, If thou believest with all thine heart, thou mayest. And he answered and said, I believe that Jesus Christ is the Son of God.
There's the criteria for baptism...And no babies are included...