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

So..."tooblue"...How does one hear when too much damping has been applied? 

"Atmasphere"...What is an example of damping correctly?

Thanks all

 for all the input! 

So here is the "whole story":  I actually dampened my 125 Long Base on the new Birch Base Plate and all interior walls that I could safely reach It was quite a bit and I was quite proud of myself and my work, that was until I played my first record...a record that I listen to often and know very well.  What can I say the sound lost it's dynamics, Soundstage and worst of all it's verve!  I was nervous I jacked up my stylus or worse my new pre-amp (EAR-834P) it was THAT BAD, so I tried a few other albums that I know to no avail and it was all BAD!  So I re-traced my steps and it came back to the dampening job that I was so proud of.  So the next step was to open her up and remove all the damping that I did, put her back together and tried listening again and, thank the Audiogods, the magic had been restored!  The same Dynamic expansive soundstage was back and most importantly the verve was restored!  I was very surprised that the dampening affect on the sound of my 125 was so different than the sound on my 145!  The 145 came alive while the 125 died.  So the lesson here is damping DOES affect sound and one size does not fit all so let those with direct experience on your particular project be your guide!  And yes I was told it [damping] was not necessary on this Table by its restorer but I did it anyway...Lesson learned.