Are conservatives generally better-looking than liberals are?

Attraction is definitely based on bias.
In Russia, what resembles more of the Western “left” side is usually more working class - with being working class usually comes a less polished, more natural, appearance.

Some of the western Left is more eccentric, dyed hair and piercings and tattoos, and for some people that would make someone ugly. The western Right is usually trying to fit a status quo more.

Also, what I’ve noticed, the Right is far more strict and uptight about appearance - and they value appearance a lot more. I think a lot of American right-wing women look high maintenance and uptight, the women are hyper feminine and the men are hyper masculine.

If you base attraction on conventional beauty and effort going into polished appearance - the Right will look better. Honestly I think they all look the same.