The damper, the tension wire and cantilever position

Having a real difficult time understanding the OP’s question, or point here:

Now my assumption is that damper to which coills are ,say, pressed

by tension wire  balance cantilever/stylu combo in  ''all directions'';

left and right and above and below . BUT they also MUST FOLLOW

the GROOVES.

This description applies to many MC carts, and many Audio Technica carts. Not so much to a great many MM carts. 
 

“Damper to which coils are pressed” ONLY applies to MC carts, a very narrow application. 
 

So, are we talking about weakening of the damper? Elongation of the tension wire? 
 

Every cantilever must have a spring force, and a damper. Some styli use a spring and damper in the same suspension (elastomer block). AT uses a tension wire spring and a donut damper ring. Shure used a spring tension wire, and an elastomer block for damping and high frequency spring; Stanton used a variation of this, as did Empire.

Loss of damping over time can occur, and depends on the elastomer compound. In all cases, there has to be a force (spring) to return the cantilever to its neutral position after every excursion forced by groove modulations. A loose damper will hamper this. 
 

I have 163 cartridges, most I have repaired or rebuilt the stylus assemblies myself.

@nandric 

Curious that you answer the question about the ''subject matter''

which you don't understand. 
 

No. Curious that I had to “assume” what the OP was asking. And now you’re “assuming” you KNOW what the OP was asking…

So how do you “know” I answered him correctly, or NOT???

You don’t. Actually, you have no idea one way or the other, yet you find latitude to criticize me. 
 

That’s RICH!!!!