Well, unfortunately I'm back.
Finally got my hands on the Schaller S+T 5 way switch and had some time to work on it, so I wired it up as previously discussed which (unless I'm mistaken) is as per the following diagram:
(Edited: because this project is cursed, I posted the second diagram twice, have now edited to place the correct diagram below, then actually got them backwards and had to reverse them, to show how the wiring was done once I got my hands on the Schaller)
Unfortunately the results were:
Position 1- mid pickup
Position 2- mid pickup
Position 3- nothing
Position 4- neck pickup
Position 5- neck and mid pickup.
Same pickups are active/not active in each position when the push/pull pot is engaged (lifted), but I can't really tell if it's splitting coils because (trying to learn from my mistakes) I've wired components up outside the guitar (wires soldered to components where required, then joined to other wires with alligator clips or tiny marrettes) and so in order to check pickups I have a taut guitar string held by screws on spacers over a stick that I pluck over each, which tells me if a pup is working (don't want to keep tapping the magnets which are finished black), not so great at indicating the exact type of sound it's making.
Checked all the wires and connections against the diagram three times in case I'd made mistakes.
All the solder joints appear solid, all the wires were visibly physically connected as per the diagram.
Unfortunately the multimeter we had access to isn't currently working (best project ever) so I currently can't check for continuity that way.
Revisiting the Schaller schematic, I think I might have the lugs in the wrong order.
Following is a print of the schematic with my handwritten notes beside each about what to connect where, and the changes that I believe result as you move through the positions:
Which (unless I'm mistaken) translates into the following wiring diagram:
So I wired it up following the above, checked all the wires and connections (three separate times), and now I get:
Position 1: Neck
Position 2: Neck and mid
Position 3: Mid
Position 4: Mid
Position 5: nothing.
And like before, all pickups are active/nonactive in the same order when the push/pull pot is engaged, but I can't really hear whether the coils are split.
So between this and the previous setup, naturally I panicked thinking I've done something to the bridge pup. So I swapped them around (bridge in neck position, neck in bridge position) which produced the same result, so the bridge pickup works, just not in positions 4 and 5.
If anyone can see anything I'm overlooking, I'd love to hear from you.
Or if you know what I've done in undertaking this project that has so enraged the Guitar Gods, and how I can appease them, that would be great too.....