Here's my insight: I think in large part the genres Brian listed at the top can be distinguished from each other even though you ignore the words.

Only very few exceptions: "Christian Contemporary", some "Holiday", etc. are distinguished by what the lyrics are talking about rather than the meter/tempo/arrangement/rhythm/melody shape, etc.

A couple of those categories are not about the music OR the lyrics, but who wrote it. "Singer/Songwriter" is a genre? I wouldn't call it that.

So by that analysis "Out and Proud" would not be a musical genre either. And I say that having written music for words specifically about and in support of lesbian relationships myself several times.