No, that's just what the political right tells you they are all about. Inspect their actual actions over the last several centuries and they tell a very different story.

Make no mistake, conservatives desire an oppressive government. They want the state to be able to tell you you can't be gay or Muslim. They yearn for the boot on their neck, so long as it steps harder on their neighbors than it does on them personally.

Republicans ended slavery while democrats fought to preserve it in the south. While technically true I imagine you can drop your partisan blinders to acknowledge that 1) this is so simplistic to the point of turning an accurate statement inaccurate, 2) it ignores party realignment, and 3) instances like good ol boy Strom switching to the republicans during integration because he hated black people so much, which immediately complicates the implied narrative.

All of this is to say that you, me, and everybody reading this conversation know that “liberal” does not mean what you are saying. It is just an annoying thing conservatives say to get under the skin of liberals. It is not productive, highly reductionist, and in bad faith.