Do people fetishize gay Asian men like the way people fetishize Asian women?
No. the reason why straight men fantasize about Asian women is because Asian women tend to be extremely feminine(small boned, gracile jaw-line, long flowing hair, soft skin). It is the hyper-femininity of Asian women that straight guys go for. Straight men are attracted to hyper-femininity just like gay guys are attracted to hyper-masculinity. Gay guys want "macho" studs with square jaws, deep voices, hairy chests, self-assured manly attitudes, etc. Straight guys go for the delicate features, soft skin, small body frames and also for their "sissy" personality: their shyness, demourness, passivity, etc.
Now, Asian men are the least masculine men of all races in physical appearance, just like Asian women are the most feminine. Asian guys tend to be shorter and less muscular than men of other races, with high-pitched voices and they have a reputation for being shy and introverted. Most of the feedback I've heard from the gay community is that Asian men are not attractive, and the most common complain from Asian gay men is that nobody wants them. Most gay men reject Asian men because they are not manly enough, either in terms of physical appearance or personality.