Generally you would not expect a gay Republican to be very proactive in furthering gay rights (Dems don't either most of the time, but w/e). They would spend their time role-playing as "one of the good ones" and get accused of being a subversive is they actually collaborated with queer groups that were anything but "Gays for Trump" type PR campaigns.

This is not just hypothetical, we can see many people of different minority identities who support horrible reaction and only use that identity as a shield from left criticism. Milo Yianopolos (forgot the spelling) publically gave lectures on how lesbians "don't exist" and "need a good d***ing" and defended pedophilia, but never seemed that interested in actually furthering rights even for relations between gay men. Candace Owens famously defended Hitler's domestic policy in public and speaks on black issues mainly to launder conservative talking points using her identity.