The latest topic of political discussion - Israel vs Palestine - is proving this. Not to derail the conversion about that topic itself, as it's highly contentious, but to point out that is a topic that is far from black and white, and both sides in our oversimplified two party system are finding out that there is nuance to be had on that topic, as they can't agree what the "right" stance is, though they can collectively agree that some ideas are stupid. To look at the other big topics of the past few, someone could be anti-mask and pro-vaccine, or anti-looting and vandalism but anti-police violence, neither of which wholly aligns with either party, but exists in the broader spectrum of what an individual believes in.
Yeah I think maybe we are making the same point in a way?
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.