One can the old glider reuse (including screws) but as a "perfectionist" one might also new glider, a fortiori, because the old but showed some wear.
So I ordered this Corepad.
The old slider removed and cleaned with alcohol, the adhesive surfaces (Warning, no acetone-containing cleaners).
Sticking (ideally not touching with tweezers at the adhesive surfaces with your fingers) went smoothly.
The Result:
My "old" favorite mouse is now as good as new!
Absolutely worthwhile investment!