Thanks for that, folks.
I seem to be 'twixt the devil and the deep blue sea. ref Chaterlea & Swarfy, all seems in remarkably good order, meaning there's nothing indicating change needed. On the other hand, I agree with Einsten's statement, that 'madness is doing the same thing and expecting a different result', meaning re-assembly as is will surely bring me back to the problem. The other vee I made has the same type of gearbox, and it's fine, so dunno what's up here. Very frustrating.
Clearly the issue seems to be with the selector picking up the cam but, as both are fixed in position, I can't see why leaving out the standard fitment gasket should make a difference. Maybe, as some have said, today's offerings are thicker? Perhaps I'll try (with little hope of success) cutting one from my stock of .012" gasket paper.
Getting close (getting on a bit, pressure of work etc) to deciding to put it in one gear and (hopefully) start the engine, then leave it at the back of the shed for someone after me to sort out.

Update Sat:
Spent the afternoon playing with the box. Checked shaft endfloats had sufficient space before doing a dry re-assembly sans gaskets etc. No joy. Tried changing back to the original detent plunger, which seemed a little better. Dunno why - I fitted roller plungers to my other rigid box and the GF S/A box and they were great straight off.
To cut a long story .... it now seems fine (on the lift turning rear wheel) after finding the plunger force was critical - a couple of turns either way and gears were essentially non-functional. I've re-assembled with no rear gasket - but loads more hylomar than I'm happy with - and hope that with oil inside and engine running it'll be OK. Certainly don't need any more hassle - a pile of jobs waiting for me means I have little time to spare on a project which is hogging the lift that two bikes my son uses are waiting for.
At least the sun is shining ........