Is a gay film necessarily woke?

A conundrum. This film was made seemingly before the overtly woke wave of sexuality and racism slapping the cheeks of our children really hit the mainstream. In that context, is it blacklisting-level woke?

The elements are there, minus the racism.
A gay couple who run a nightclub (with the "feminine" partner playing a drag queen) must act "straight" for the sake of meeting their son's extremely conservative parents.
There are jabs at conservatives, but then again, there are jabs at the gay lifestyle. There are hints of "racist white people" when the issue of the gay dude (played by Robin Williams) being Jewish is somehow an issue.

That said, there are no "poor poor oppressed penises (penii?) being trampled by Evil White Men" bigotry scenes, no lashing out in long teary soliloquies about oppression, no checkbox "black female lesbians who don't need no man yass queen" characters.

So while it does technically checkbox for the woke, this film is still heavily enjoyable even from a mighty conservative viewpoint.