Do you think only the 'traditional dominant culture' has a desire for personal privacy? I tend to view privacy as more fundamental, and in my experience most people want a good amount of it. I do not feel unique when I say that regardless of who I am attracted to and/or having sexual relations with (or nobody at all), this is only my business (and my partner, if they exist).

I can name a number of people in my family who are openly gay but not politically active. If you asked them if they identified as LGBTQ+ they would probably say "sure" but they don't wave flags, have stickers, clothes, or anything else proclaiming their sexuality. They're not trying to hide it (as if that were possible, they're all married to partners of the same sex), but it isn't a fundamental part of how they interact with the world.

And I know people in my family who are quietly bisexual or gay, too. Plenty of folks would accuse them of being in the closet, as if that were bad (because they should want to advertise it, right?). It must be fear of bigotry that keeps them in the closet, right? In my experience, no, they aren't actively hiding anything, not using subterfuge to make people think they are straight, they just keep their sexuality to themselves.

Trads are perfectly fine advertising their sexuality to strangers. Some wear pants, some wear dresses.