Another important point about adding a centre weight OR a ring weight, specifically to a SUSPENDED SUB-CHASSIS turntable such as a Linn LP12 or Sota Sapphire.
These suspensions are tuned to the weight of the platter and everything which sits on it. The difference between the weight when playing a 200g or 120g record is not going to make an audible difference, but adding a 1.2kg ring weight or centre weight will, on many such turntables, be too great an additional weight to be able to compensate by tightening the suspension. In these cases, a LIGHTER weight needs to be used.
Just as importantly, if you tune the suspension to include say a 400g centre weight, then you MUST use that weight EVERY time you play a record, or the suspension will FAIL to do its job, with a much worse result than any gains you achieve by weighting the record.