But when you do that you don't get any of the Lightroom adjustments. Am I right?
Well, you can get some adjustments if you go through a few more steps.
If you export a group of Lightroom images as a catalog, you can import that Lightroom catalog to Capture One. When you do, you'll get a dialog that tells you what will transfer (attached). Of course, C1 doesn't do image adjustments in the same way as Lightroom (that might be a good thing, it's probably why you're considering switching). But you will get the metadata and simple crops and rotation. Even virtual copies.
It can be a bit laborious if you're going to move all your images over.
Some folks find it's ultimately easier to keep all their past work in Lightroom and do new work in C1. Or only bring to C1 the most recent things you'd like to compare results on.