veldian/turian is inclusive enough, I think. there's also floric, virsic/virsian, magnian, casian, cinthean, gayan, virescin, hyacean/hyacique, and uranian. see also some other terms

vincian was also coined as an alternate term to achillean (MLM) (see discussion). once a wiki used it excluding non-binary people, suggesting they could only use toric (NLM), andro- or viramoric.

if you feel more comfortable using vincian, go ahead. gender apathetic vincians are valid af. o/

I always question myself the same, since "gay" in my first language does not apply to women and is a single word that does not need to mention man, this is epicene in English. I see people feeling neutral with gayguy and gaydude labels, but some people not.

The word homić kinda seemed a neolabel but then I found it means gay man in Serbo-Croatian. Homo means man or human, however hom(o)- prefix means same, homic mixes both things into one. Curiously Finnish has a word called homomies, -mies meaning men.

Uranien (Uranian or Ouranian) used to mean homosexual males, not sure it applies. Viranian would be better specific since vir- has to do with m-gender. Check apollian/apollonian, achillean and vincian.

While that's not monolexically what you want, achillegender (apolliagender or vinciagender) describes this identity experience, similar to orientationgender but not the same.

And there was a term called virescin, the coiner asked people to stop using it, but I find it cool and useful for situations like this, describing being gay for men while not essentially being man. It could be virescian alluding vincian.