I would first say that I am not an expert or academician of music history etc. and as such I do not know if any of Beethoven's music had political themes. I will go out on a ledge and postulate that some German composers may have had nationalistic or militaristic themes in some of their music, but wholly open to being corrected on that score.
I would agree that, in general, I do not see Beethoven's music as political, but nor do I see the county music genre, as a broad category, style, or genre of music, as political either. Any style of music can be used as the vehicle to carry political themes in lyrics, be it country music, classical music, or punk rock.
What myriad of factors determine the genre to which any musician gravitates? I think it important to separate genre and styles from the thoughts and actions of any one individual musician or activities of corporations involved in music.
If county/western/bluegrass is the genre that a person of color or who is LGBTQ sees as the medium through which they best express themselves musically, then I say they should be encouraged and supported in that, not discourage or dissuaded because of concerns over the associated music industry.