"P2s and effective length are not dependent on the cartridge used." True. They are instead dependent on the tonearm design and must not be changed. Providing slotted headshell mounting holes therefore allows mounting the cartridge so the exact stylus-to-pivot distance required by the manufacturer can be set, regardless of the cartridge's stylus-to-mounting hole dimension. So with (most) arms you need to be able to adjust the fore/aft position of the cartridge in the headshell. The spindle-to-pivot distance is also specified by the tonearm manufacturer/designer and combined with the specified EAL (effective arm length) provides the correct arm geometry.
Nandric: "BTW the slots are to provide for the distance between the stylus-tip and the fastening bolts because this distance differ by carts. Or so I thought." That is not correct. The slots are to allow one to shift the cartridge fore or aft until the stylus tip is the PROPER DISTANCE FROM THE ARM PIVOT ;-) That distance is called the 'effective arm length', and is pre-determined by the tonearm designer.
Nandric: "BTW the slots are to provide for the distance between the stylus-tip and the fastening bolts because this distance differ by carts. Or so I thought." That is not correct. The slots are to allow one to shift the cartridge fore or aft until the stylus tip is the PROPER DISTANCE FROM THE ARM PIVOT ;-) That distance is called the 'effective arm length', and is pre-determined by the tonearm designer.