There's a lot of more serious things that they could have actually impeached Trump for. But they didn't, predictably.
All they really did was impeach him on the politically uncomfortable things. So basically all they did was use the impeachment to warn him of what he could and could not talk about. In other words, you can go here, but you canlt go there, because it upsets the apple cart.
There's not really a nickel's worth of meaningful difference betwen the parties. Heck, Pelosi turned around and gave him everythign he wanted during the impeachment in what was, at the time, the largest spending bill in history.
I think I had written about it in far more detail a few years ago, but not really gonna do it all over again here.
Of course, that's just impeachment. Which is not what is being discussed here. But the shenanigans involved are basically the same.