If your flywheel is literally the same, and the taper on the crankshaft has not been damaged, that should be a perfect and permanent solution Paul. However watch out for minor differences, such as the two flywheels not having the magnet in the same place. Stranger things have happened: if you don't have a parts list, they'll catch you every time. Just have a good look, and if possible, put some blue on the taper and see what the markings look like when you put it on firmly but don't tighten up. Then watch when you put it together that nothing hits the new flywheel due to a dimensional difference you hadn't notices. It should all work out: the only likely problem, is that the crankshaft taper had become a bit beaten-up and the two parts will have to be lapped together.
I'm glad you found it. That is a good illustration of why you watch out for things the previous tenant has "been at" himself. It's way better to work on things that have just stopped working, and the tenant has left it at that.