Back in the days when an old bike was just an old bike, ie "give me 10 bob for it son and push it away" or " for gods sake take that junk away please" I mixed and matched all sorts of stuff just to get a rideable bike.
If I did not have a logbook, or just a reg no I could take it to the old LCC offices, a bloke would come out and look at it, check for insurance, and I'd pay the tax and get a number matching logbook
If I had a logbook I could build a bike to suit it, used spares were in cheap abundance in those days
I often wonder how many of my old wrecks, are now out there,cherished money pits, with some poor soul agonising over what does not match the year spec.
Usually hoping it will turn out to be some factory special.
You could work wonders with a set of number stamps; nothing illegal, just working the system.
I once had a lovely B31, one of the rare ones with alternator, I sold it for £40 in the early 1970s and rode it London to Bedford for the buyer.
The world of old bikes is truly baffling these days.
It seems it was built by a well known restorer
I wonder who? [PM me if you like] I was once a " a well known restorer" my opinion of some of the other " a well known restorer" and their work is too obscene for here.
I never did a B31 though, they were not worth the expense at the time. I never took on a bike that was not complete to start with.