Since this reminded me of a r/BlackPillScience quote I submitted some time ago (Really not in the mood to search for it now.), where the incels were going crazy over a study which found that support for egalitarianism is inversely correlated with (for both genders) physical attractiveness and (for men) musculature, I did a bit of Googling and, yeah. There does appear to be link between attractivenes and convervativism/right-wing political orientation.
However, as the researchers themselves took the time to explain, it’s got nothing with what the quoted commenters think (Rebelling against the Deity, Beauty = Goodness, Feminism…). Attractiveness is a priviledge. Like all other priviledges, it tends to make one conservative for a variety of reasons. Attractive people tend to make more money than unattractive ones (Other priviledges have the same effect.) and the more you have to lose in a more equal economic landscape, the less likely you are to support such a cause.
Attractive people also, on average, simply face less hostility from society (Again, other priviledges have the same effect.), they have an easier time getting jobs and are generally preferred over unattractive candidates for the same jobs, are less likely to be treated negatively by strangers, have an easier time getting help from strangers if they need it, have an easier time making friends or finding romantic partners, adults (Teachers and even parents.) generally prefer attractive children over unattractive ones, etc.
Basically, as with other priviledges, those who possess it face less hostility from society, and the less hostility from society one faces, the less likely they would be to wish it would change, or even see why it should be changed. And wishing that the society would stay the same does, indeed, make them conservatives.