You would think so but I think the "gay republican" thing is more of an effect of "see, gay people can be republican too!" that is more effective for those already republican. Just like a lot of black commentators are like "black people can vote for Trump too!" So although gay and black are two distinguishers that tend to lead to empathy for lefties, it's seen to them more as "oh look at that poor person voting against their own interests" more than it is seen as "hmm let me maybe entertain this guy's actual views."