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This isn't particularly cursed. I mean we've had avalanche pulse generators for well over half a century easily. It's just exploiting semiconductor characteristics they don't teach you in the usual garbage undergrad textbooks.
Delightfully cursed.

I wonder how consistent the breakdown voltages are between manufacturers? I mean, I am sure there is some spec, but is it not just a minimum in this case?

What would happen if you added a capacitor (to ground) on the base? Could you adjust the frequency?
I would never have thought to try this circuit for fear of letting out the transistor's magic smoke.
> "It’s hard to build an oscillator"

I would beg to differ. It's hard to not build an oscillator. An awful lot of digital design is avoiding building oscillators all over the place.

Incidentally, the coolest anti-oscillator I've seen used the back EMF from a relay to push a transistor past its breakdown voltage, and that was the oscillating element.