You can pick up wood screws with a very aggressive, self tapping thread, eg Screwfix turbo series. You can also make screws similar by grinding part of the side of the tip off so the threads gain a sharp/flat; handy for driving screws close to the end without splitting and without pre drilling ...
All true, and all very reasonable, but it was the plastic material, rather than the screw, that was my concern
.... but in this case I was able to drive the screw into a “Bakelite” style plastic back box and have it cut a thread. I used a manual screwdriver rather than a cordless drill so I could feel when it was getting tight and back off/go again.
Fair enough, and I'm pleased that you succeeded.
Such things do, indeed, have to be done 'manually' - I feel sure that any attempt at 'power-tapping' (e.g. with some sort of electric drill/screwdriver) would be extremely likely to end very badly. Indeed, even when tapping 'fairly small' holes in metal (i.e. fairly small tap), there is a significant risk of the tap snapping if one is not gentle enough with 'manual backwards and forwards' (I have plenty of experience of 'snapped taps'

- and I can but presume that risk would be much greater if a 'power tool' were involved!
However, returning to your 'manual' thread-cutting with a screw, on the basis of lots of bitter experience of trying to do things with it, I fear that there would be a very significant risk of the ' "Bakelite" style plastic' (usually urea-formaldehyde resin) material, which is pretty treacherous to work with (brittle and 'unforgiving'), would shatter during even gentle attempts to cut a thread in it. I have, in my time, successfully cut threads in that sort of material, using a 'proper tap', but 'disaster has struck' on a fair proportion of my attempts, wven with my being 'very gentle' - one comes to fear and dread that little 'click' noise
After thread cut, grinder cut the end to the right length, downsized the head (if I’d done that first the head might have been too weak to cut the thread I think it was a 5 and there wasn’t a lot left of the +)
Sure, it's the thread-cutting which is the worrying stage. If/when one has done that successfully, with the box still intact, then the rest is child'splay.
Perhaps a simpler route would be to fill the hole with epoxy adhesive, lubricate a machine screw with wax/grease so it still has some thread presentation, and embed it, then when the epoxy sets wind it out (the wax having prevented the epoxy sticking to the screw), cut it shorter and screw back in
Yep, that would certainly (in my opinion) be 'safer' and is something I've quite often done in similar situations.