Moving the turntable to a corner is a great, cost effective idea. I don't think that mounting it on the wall will help. I don't it's the floor, more like what is supporting the floor that is causing the flexing. If the floor is flexing, there is a good chance that the wall moves with the floor.
If you can get to the basement and look at the floor joists, you may be able to add a couple to the already existing to stiffen the floor. 2 floor joists should be relatively inexpensive. You may find your solution by placing the table in a more structurally sound location in the room if one exists.
If you can get to the basement and look at the floor joists, you may be able to add a couple to the already existing to stiffen the floor. 2 floor joists should be relatively inexpensive. You may find your solution by placing the table in a more structurally sound location in the room if one exists.