Just a quick note — You maybe have been one of the folks who already did submit reports to apple, but I'm also certain that a lot of people don't (they might just dismiss the prompt). Moreover, I know that a lot of folks don't spend their time calling into AppleCare, but I encourage anyone else who's dealing with this to call in about it too.
I spent 20+ min on the phone with a tier 2 support specialist at Apple (about 10days ago) and at the time, he shared that there were no similar/related issues reported to Apple Support... so my thoughts would be: If you're ONLY posting here on this thread, make sure to a) submit your error reports/crash-reports when you get the 'restarted because of a problem' pop-up and/or b) call this in to AppleCare and give them a thorough run-down of your MP6,1 setup & what you're experiencing.
My AppleCare case is still open, and I've been experimenting with 12.1 for 3+ days now — not a single crash so far. I have restarted the machine myself for other reasons, but it's never restarted itself since the update. If I get a week+ out of 12.1, I'm gonna go ahead and update my other partition to 11.6.2 (11.4 is rock solid, but 11.6 crashes in the same way on this machine) — as for 12.1: I'm still hesitant to imagine that it's truly solved (especially reading that others have not seen improvements) but seriously — make noise with Apple Support directly (if you haven't already).