Uncle Ben:
You are persisting to connect the nigun with its composer. I also disapproved (and still do) of the behaviors and other things that are unacceptable. I still do not believe that finding a person disgusting has anything to do with a nigun composed by him. And I repeat Reb Moshe’s tshuvah that stated this as well. I do not need to disagree with your statements about Carlebach. They are simply not relevant.
Lastly, we do have guidelines about who is considered an apikores. R’ Shlomo does not qualify for that at all, and I have yet to hear a pronouncement of any talmid chochom who would consider this. To say that he committed aveiros is easy. He was not secretive about that. I simply do not connect the character of a person to the nigunim he composed. End of story. Now, does Reb Moshe concur with that or not?