> there’s a reason why the former enjoyed wide acclaim throughout the eras
That reason is in no small part the propagation of taste via culture.
> As if some patriarchal conspiracy was forcing classical composers like Mozart and Beethoven down people’s throats...
An unsubtle description perhaps, but it does get at the idea of how cultures promote certain work at the expense of others. Yes, there's certainly "forcing down the throat" that occurs, via peer pressure, education, public promotion, and so on, but there's also the suppression of contributions that don't fit the society's constraints.
Name some of the great female composers of Beethoven and Mozart's era. I'll wait.
You now either have to take the position that "women just aren't that good at music," or you have to acknowledge that something was going on at that time - something that still happens today. That something is strongly hinted at by the comment someone else posted about Maria Anna Mozart, who was "forbidden from performing once she reached marriageable age."
In that context, your denial of obvious facts starts to seem monstrous.
> Framing their work in the context of contemporary American identity politics is very cheap journalism, and distasteful.
The US didn't invent the patriarchy, it inherited it directly from the European societies that settled the US, and Beethoven and Mozart's society was a big part of that. Beethoven was born 6 years before the Declaration of Independence; Mozart 20 years before; and Germans were one of the biggest groups to settle the US.
Your adulation of those musicians is a direct consequence of your embedding in a cultural context that you seem blissfully unaware of. The reason you like them is because you are directly descended, a mere 10 generations back, from peers of those musicians. You were brought up in a culture that privileged their work, and have absorbed that indoctrination uncritically.
One of the other pieces of indoctrination you've absorbed is apparently that the culture didn't, in fact, systematically and unfairly suppress the voices and capabilities of women, which is why you haven't replied to the comment about Maria Anna - you can't afford to acknowledge it, since you can't refute it, and it eats at the foundation of your indoctrinated beliefs.
Attitudes like yours hold back the development of a more equitable society. You should rethink them.