That may be your definition, but it's not the common usage/ understanding.
"Gay
Refers to a man who has a romantic and/or sexual orientation towards men. Also a generic term for lesbian and gay sexuality - some women define themselves as gay rather than lesbian. Some non-binary people may also identify with this term."
Source: https://www.stonewall.org.uk/list-lgbtq-terms
I also know plenty of men, very masculine, bear types, who are obviously attracted to all things masculine; broad shoulders, big strong hands, hairy arms, hairy chest, facial hair, deep voices, etc. and have no interest in seeking or being effeminate in any way, and they absolutely consider themselves gay. Gay night clubs and gay bathhouses are full of very masculine men (not saying there aren't effeminate ones as well, just saying that in popular use, gay is understood to refer to homosexuality, not effeminate behavior.
But even if the difference you purpose were technically correct, I'm not trying to argue about etymology. My point was simply that bisexuality exists, and it's a spectrum, not an absolute. Calling men who are attracted to women but have situationally been open to male/male contact, or even men who are attracted to both men and women "gay," is incorrect, just as "homosexual" would be. The prefix homo- means "same." If you entertain the idea of sex with both sexes, that's called "bisexual," not "gay," and the degrees to which someone may be bisexual, and the types of bisexual activity that appeal to different people, vary greatly from person to person. The word "gay" does not apply to the open-minded, or those with somewhat fluid sexual orientations. In common parlance, it's understood to mean "homosexual."
