Does anyone?

Neither party means anything, they are just two place holders for opposition that attempts to sway a little over half the country.

Now there are people in charge trying to dictate what that ~50% thinks and often heavily manipulates primaries, but Democrat abd Republican don't actually really mean anything.

Liberal means something, and that something is definitely not what the modern Democrat party represents.

Conservative means something, and MAGA Republicans don't really all practice that either.

A republic and a democracy both have meanings too, but they also have no specific association with the parties of the same name.