That is correct, I could only point to the tradition
of the early Church to prove directly that infant baptism was practiced, but Scripture does not say that it is forbidden.
I have no real problem with infant baptism. I was baptized as an infant but also re-baptized in a pond when I became an adult. It just bothers me that many believe their infant baptism saves them and that’s not true. It may help sanctify them for God’s use but it doesn’t save.