The diagrams are electrically equivalent and will give exactly the same sounds.

The two sides of the push/pull switches are identical and isolated from each other, so you can happily swap which side the wires are are taken to. For extra robustness, I’d suggest linking the two sides of the switch so the contacts are duplicated.

Otherwise, for the tone pot arrangement, the Tonerider diagram has the cap linked to the volume pot and then the pot track and then to ground, whilst the SD has the pot track linked to the volume pot and then the capacitor and then the ground. With a capacitor and resistor in series, it doesn’t matter which goes first. The end result is exactly the same. Having the capacitor as the link between the pots is a good idea when using physically large caps like orange drops, with nice thick wire legs. If using the typical small ceramic disk caps supplied with the kits, with their much thinner wire legs, then having them connected to the back of the pot is a better position for them IMO.

The coil you get when you split the coils will depend on how each manufacturer has wired up their pickups, so you definitely need a comparison chart. But using the Tonerider one, the SD diagram will give you the slug coil, the Tonerider diagram will give you the screws. To swap the selected split coil, you swap the hot and ground wires over, so for the Toneriders, green would then go to ground and red to the volume pot lug in order to get the slug coil as the working split coil. But you’d have to do this to both pickups otherwise if you only did one, the both-on humbucker selection would be out of phase.