If it has nothing to do with Israel why do so many Zionists bring it up gay Palestinians in their debates?

It’s convenient for them to do so. It makes them hypocrites, but broken clock etc.

Do you believe Israel genuinely cares about gay Palestinians?

No, but again, what does that have to do with the way Palestinians treat their own?

Edit: Also Israel gave Hamas suitcases with cash to keep them in power. So you are wrong about Israel not being complicit. Palestinians have no self-governance because huge outside powers keep meddling in their affairs.

This is true, but I have yet to see any indication that self-rule would improve the lot of queer Palestinians. Their countrymen are overwhelmingly against them, and that is unacceptable. I don’t care about religion or arbitrary lines drawn on a map — I care about human rights.