Yes, something was changed.Nothing was changed, Jon. Let me quote the Bible to you once again.
My old self has been crucified with Christ. It is no longer I who live, but Christ lives in me. So I live in this earthly body by trusting in the Son of God, who loved me and gave himself for me. I do not treat the grace of God as meaningless. For if keeping the law could make us right with God, then there was no need for Christ to die.
(Galatians 2:20-21)
"Gave Himself for me."
It doesn't say "gave Himself with me." There is a substitution that has taken place. "For me" is very important.
So, Jon, I take the text as it is. Don't tell me that I change the phrase. I don't. So take your own quote and point it right at yourself!
"There is a condition worse than blindness, and that is, seeing something that isn't there. - Hardy"
And nobody is saying God gave Himself with us.
You changed "Gave Himself for me" to "God Himself instead of me".
You have added to Scripture.
Christ giving Himself for us is not substitution.
Christ giving Himself instead of us would be.
Being baptized for the forgiveness of sins is not baptism as the cause of forgiveness.
Being baptized to being about the forgiving sins is.