That’s a very interesting topic. To illustrate the variety of beliefs out there, my father grew up in an Ultra-dispensationalist tradition (The Berean or Grace Movement) which believed that baptisms was abolished in the church age. He was never baptized, as a result–nor did their church baptize. It’s sort of based, I guess, on the idea that Paul developed a different dispensation (gospel) after Jesus and the other disciples (this has some relationship to the earlier thread on another thread) Simply Jesus or simply Paul? - #3 by gbrooks9
I think they thought that Matt 28: 19-20 above was a later addition to the gospels, not by an inspired writer. Hyperdispensationalism - Wikipedia
That’s quite a contrast to what I understand was Augustine’s position that we were conceived in sin from Rom 5:12 and allusions to Psalms (surely in sin my mother conceived me, etc), when he advocated for infant baptism to save them prior to dying from the very high infant mortality rate (about 50% before the age of 5 up through 1830).
And in case you’re wondering–yes, I was baptized, but not till age 33, when I joined a Baptist church (I couldn’t very well skip that part!)