I'd think a man can be very perverted and still more friendly to GC and SS than to the trans lobby.

Even if he has gender transformation/play as one of his fetishes, if he doesn't actually want in to restricted spaces he may actually resent the TRAs more, because they've created an environment where any visibly gender-nonconforming male is assumed to be part of the TRA movement and supporting all of its more odious demands.

In a slightly saner world, "genderfuck" --- displaying strong masculine and feminine signals at the same time --- would be a way to indicate that one is just playing. But in the world we have, it would just be read as "low-effort trans", and actual low-effort transsexuals are definitely combatants in the war with GC.