Can an old Thorens Table be "Over Dampend" to the point where sound is adversely effected?

I am sure this topic is not new but I would like a new take on it...So the question is: Can one Over Dampen an older suspension chassis Thorens like a 125,145,160,166 etc.? I am only (in this post) regarding the exposed inner wood of the plinth like the base and inner walls. I have heard in some venues that it is easy to over dampen and KILL the dynamics of one of these older tables...Are they referring to more of the damping of the motor, platter, suspension parts etc. basically the metal parts or any damping? What are your thoughts?

Thanks!