Two criteria need to be achieved in cartridge set up:
The diamond, and its ridges if not conical, need to duplicate the cutter from the cutting lathe.
And the coils need to be optimally placed in the magnetic field.
The second is easily achieved, as the cartridge manufacturer will specify a small range of tracking tracking force, and as long as the suspension is to spec being within this should place the coils optimally.
To achieve the first azimuth, bias and tangential alignment to groove must be correct, the tail of the arm just down from horizontal, and the key procedure then is to gently adjust tracking force throughout the manufacturers range using a disc of known spatial and focus qualities. Like focusing a pair of binoculars, you move into focus, beyond, and back until you are in the sweet spot. If you can resolve spatial information optimally, all else will be ok. I hope it's obvious that what you are doing here is using downforce and cartridge suspension compliance to change the stylus angle within the groove, until it is tracking the cutter perfectly.
This is, if achieved, a substantial sonic advance over an indifferent set up.
The bad news is while this will sound optimum for many discs, thicker discs, or ones cut on a lathe of different spec will still be capable of better results. The true obsessive might therefore have mats of different thicknesses to accommodate different disc thicknesses. Nothing can be done about different lathes other than running several turntables with different optimisations. You can, however get it sounding good for most discs. Of course if you can adjust vta on the fly, as with some arms, this advice is redundant!