If salvation comes from water baptism I don’t think Paul would have told the Corinthians that he thanked God that he didn’t baptize any of them except the few he named.
Details, details.
He might as well have thanked God for sending them to hell.
You make a very good point.
The context of that passage is that some of the Corinthians had gone carnal, bragging about WHO baptized them, instead of WHO they were baptized into (Jesus Christ).
In which case Paul was thankful he had only baptized a few in that city. But, by Paul’s own words, other ministers had performed baptisms there. Paul showed up in Ephesus and promptly baptized 12 disciples there in the name of Jesus.
Paul didn’t have to discuss baptism that much in the epistles, since those letters were written to souls that already knew how to be born again. That is usually noticed in the intro to those epistles, except for Hebrews 6:1-3, where it is obvious that the writer is addressing born again souls.