If you want to retain agency and be able to put things in a direction that makes things comfortable for you, then I think by necessity you are going to also have to do some work other than batting down someone else's perfectly reasonable roll and success with a "nah, that just doesn't work for me." Doesnt that other play partner have just as much need for feeling validated and comfortable?
I do not think a prerequisite for having social skills should be that the player is psychic. But that can be how they are treated like they should be otherwise "well you just didn't convince me oocly."
I guess if you wanted to eliminate all need for player discussion/negotiation, you could have buyable abilities that give you social immunity from certain applications that are a hot button/sore spot for the player. ("I can never be convinced to follow someone else's suggestion about my business." "I can never be charmed into giving a favor or discount." "Oratory dice have no effect on my willingness to be moved by a political speech." Usually sexual situations are off the table for rolling, as they should be.)