Get an Ap called "RPM" on your phone and see for yourself. If your turntable is DD or using an AC synchronous motor it should not matter.
It should also not matter with a well controlled DC motor. In Short, If it does change your turntable's speed it is junk, throw it away and start over. If the weight is changing speed so is groove friction which varies.
It should also not matter with a well controlled DC motor. In Short, If it does change your turntable's speed it is junk, throw it away and start over. If the weight is changing speed so is groove friction which varies.