It was shoot the messenger type stuff.
I recall when the Dixie Chicks criticized Dubya's invasion of Iraq.
The analogy here, to me, would be instead of arguing about whether Iraq invasion was a good idea, you said "aha! I knew the Dixie Chicks wouldn't have anything to say about Whitewater!" (or some similarly team blue scandal of similar vintage).
I hate tribalism, and I actually hate to see it even more on the side I vote with because it puts me in the position of being asked to defend things that I don't think make sense.
I felt the poster was discounting the article because the author had the opposite political preference on 2 topics. They lead with - "I figured out as soon as I saw the link title that the author's examples for "luxury beliefs" would just so happen to be associated with a feminist and anti-racist outlook."
To me reading the criticism of "my side" by reasonable writers from "the other side" is only additive. Also, logically that's exactly where I would expect the criticism to come from. You may even gain some perspective and re-evaluate your position or adjust your argument. This is how we grow.
As you point out, one can have a complex set of preferences/beliefs/things they support that do not fit directly into blue|red binary as a whole.
This is reductive and only true in a binary world. If I question some anti-terrorism approaches, does that make me pro-terrorism? Of course not, but one could dishonestly accuse another of that to silence them or derail the conversation (see The Dixie Chicks). The world is hardly ever black and white.