I have a Gold Crown I, likely a 1962 model. The pocket pictured above looks like a standard GC I slate and rails, where an extra layer of facings has been applied to tighten up the pockets. This is never a good idea.
To fix this, the most expeditious and inexpensive way would be to simply replace the facings. I would recommend reverting to the standard GC I, which is right around the "standard table" per Dr. Dave's table difficulty factor (TDF); you can find a sticky thread on this in the main forum.
This could probably be done without replacing the cloth, or even removing it entirely from the rails. Just make sure you use a firmer, neoprene facing of 1/8" to 3/16" (Durometer 60 or so.)
I personally am not a proponent of tightening pockets. It depends on what you're trying to accomplish, of course. Mine is a family fun table, even though I take it more seriously. I can measure my skill by my runs, etc., on a standard table, don't need tighter. And, it is still fun for the family, who enjoy pocketing balls.