The problem with abandoning specific terms is that it gives into the liberal mentality of words needing to be more "vibe based" than having clear definitions. This is how we get meaningless buzzwords like "authoritarian" and "whataboutism"

And ultimately, if we did make a new set of terms to use and somehow managed to agree upon them, the liberal media would just water those terms down as they have done for most Marxists terms before that.

The important thing is to explain terms as you go through them. I usually explain the concept, then just use the word to describe that concept, so they know what I'm talking about.

I would say in educating people it is important to talk directly with them first before giving them any theory to read though, because as you've pointed out, a lot of people don't actually know the meaning of a lot of words and would just get confused and frustrated. It makes it a slow process, but there isn't really any other option right now. At least where I am in the west, anti-intellectualism is huge. You have to drag people kicking and screaming into learning things, or do so via presenting it in a format they will consume without thinking (like fiction).