Wow, that does sound grim ! Any chance you managed to get a TR2-3A version starter ? They look exactly the same but have smaller pinion gears. Happened to a friend of mine, who didn't realize his 'Frankenstein' TR2 had a later ring gear in it. Starter worked at first, but rapidly degraded until it only turned the engine 1/4 turn or so and made bad noises. His didn't break anything, but it could have.
The 'gear drive' starters don't really need the beveled teeth, as they engage before they start turning (unlike the original Bendix starters). Even Triumph installed the pre-engaged starters that way.
I ran a gear-drive for about 5 years on my daily driver 3A. Worked great, right up until it got wrecked. My only complaint was that it no longer sounded like a tractor motor while starting ... more like a jet engine spooling up !