I think it's possible to say we cannot DOGMATICALLY state that obedience to His Great Commission ("Go.... Baptize.... Teach.....") means that ALWAYS the receiver will gain every divine blessing (including justification/faith/life).
No church I ever attended prohibited the Great Commission, but "go and baptize unbelievers" is not the Great Commission.
But I find it silly to argue THEREFORE we should withhold it wherever Jesus SHOULD have said to do so (but didn't).
No church I have attended ever said to withhold what Jesus said to do. Jesus never said "go and baptize unbelievers" and Jesus never said "go and baptize babies". Jesus did say those who "believe and are baptized" (package deal) will be saved, and the Apostles commanded everyone to "repent and be baptized", so we should not ignore Jesus and the Apostles commands to "believe" and "repent" and just baptize unrepentant unbelievers.
I just can't find all these enormous Divine limitations and prohibitions and all the shouts about what God CANNOT do .... all the "BUT NOT....
those under X,
those under the IQ of X,
those who have not attained the educational level of X,
those who have not chanted the Sinner's Prayer."
I just don't see the verses that say,
"God CANNOT bless X."
"God is rendered impotent by X."
I have attended the Church of God, Evangelical Free Church, Southern Baptist Church and Pentecostal Church ... NONE of them have ever said any of the things you are objecting to. So we are in complete agreement. All of them have read the bible and chosen to obey the Apostolic command to repent and be baptized and believe and be baptized. Thus baptism is not offered to any unrepentant unbelievers (of any age, IQ or education level), although God is still completely free to do whatever He wants without any need to consult with us. We are just obeying Apostolic teaching.
I CAN understand those who say, "We do this - even though we aren't sure anything will result."
I never heard anyone say that. Perhaps I wasn't paying attention.
I have a much, much harder time with those who insist, "We won't do this because God is impotent to bless the recipient."
I never heard that either, but I would have trouble with someone saying that, too.
I have a problem too with those - posting on the internet - shouting "We can't do anything unless we see it specifically practiced in the examples of the Bible."
I have seldom heard that, but I have never heard a church forbid something because the bible did not command it. Fortunately, in the churches I have attended that has never been a reason to prohibit something. Violating a specific command like "repent and be baptized" is a more serious matter.
And ironically, those filled with all these prohibitions, all these limitations, all these things God CANNOT do - often come from people who SAY much about the Sovereignty of God and that God does whatever He chooses to. I find people who pride themselves on being monergist who turn 180 degrees on ONE topic: Baptism.
Synergists (like General Baptists and Anabaptists) MIGHT speak about what God cannot do, although the Church of God it thoroughly Wesleyan Arminian in its roots and I never heard anyone there speak about what God cannot do. They would speak about what God might choose not to do and they often spoke about what God commanded people to do, but Divine Inability was never the issue.
For a Particular Baptist and a Monergist, it is not about what God cannot do, but rather what God has commanded us to do. The Great Commission is to 'make disciples' by 'telling people about Jesus' and 'calling them to repent', so that the disciples will believe and be baptized (as Jesus commanded). Then we are called to teach everything that Jesus taught to these new members of the Body of Christ. It is the opposite of what God cannot do, it is all about what God has commanded and empowered us to do, and about what God will do.
Any infant that can 'repent, believe and be baptized', should repent, believe and be baptized. Any handicapped person that can 'repent, believe and be baptized', should repent, believe and be baptized. Anyone who can obey God's command, should.
Any person that cannot 'repent and believe', should not be baptized ... the apostles commanded it as a package deal.
I can't make it clearer than that.