If all the studs and plasterboard in the room are moving to this extent, won't that influence the sound far more than the little segment behind the TT mounting?
A turntable is a very sensitive bit of kit, the stylus works by way of vibration to pick up the sound. Any extra vibration it picks up will effect the sound, it's as simple as that really.
The space between the wall will act as a tunnel for sound, this will cause vibrations, this will then pass through the plaster board and into the wall bracket and then in to the turntable.
A solid wall like a block wall with traditional plaster is the best way for these turntable wall supports, after that things can start to effect it.
Unless you have a problem with foot fall making it jump about, I would place the turntable on a good solid rack, rather than a stud wall