I was not aware that plate bearings are adjustable.
However, they definitely should not wobble, no matter how uneven the floor is. Have you ever stretched a string and leveled the height? Please be very meticulous there.
As a finishing touch, mount an L profile on the edge; ideally, it should have been under the screed before. Now it might happen that when you drill and water gets in during winter, there is space. Maybe it can be glued.