Depends on design of the record clamp, not sure what do you mean, but i have only one Disc Stabilizer with chuck (lock) around the spindle. It's rare japanese Orsonic DS-250 It's impossible to damage anything with this stabilizer, also i think this stabilizer can be used on aty type of turntable from belt-drive to direct drive, self weight is only 250g, but with this chuck (lock) it's pretty easy to make any record absolutely flat on the platter without too much force. Also no harm for the bearing or not too much weight for the lightweight platter of the belt-drives. Beautifully designed unit by reputable Orsonic engineers.
The other stabilizers i use are much higher weight and without chuck/lock for the spindle, but my turntables are Direct Drives.
The other stabilizers i use are much higher weight and without chuck/lock for the spindle, but my turntables are Direct Drives.