Conservatives want to oppress

I don't think it's that simple. I don't think that most conservatives want to do that, per se, they don't have the desire to oppress others.

But as far as I can remember from a YouTube series from some years ago, the conservative world view is a very hierarchical one in which everyone has their place. So to conserve the "natural order" some people (especially that pesky lower class, or the homeless, or those LGBT+ people, or women... Take your pick) need to be kept in check.

Oppression is a means to do that. It's a tool, and it's useful to get people in line, and to restore that kind of order gives a feeling of superiority and satisfaction in a "everything is back in its place" kind of way.

So yes, if that's their mindset, I also agree that they truly believe that they're having their rights taken away, i. e. their right to preserve the hierarchy.