Now, granted, I use Crown amps for live stuff and some older Alesis amps for reference... they all shut down if the signal or the output clips crazily for a specified period of time... I would think the Sunns also have that kind of protection? Correct me if I'm wrong, and I have the sneaking suspicion that I am.
Ok... you're wrong!!
I don't know about Crowns or Alesis, but it would be strange for any power amp to have protection that shuts it down because it receives an
input signal that's been previous clipped - like by a fuzz or preamp.
Some of the sunn slaves do have a clipping indicator. When the output signal isn't the same compared to the input signal, as it would be when the power amp is clipping, a voltage can be generated proportional to the difference to light up an LED.
That difference voltage could in some amps be used to reduce the level of the input signal - that's basically how Peavey's DDT and the AGC switch on the old Acoustic 260's worked.
And the Beta amps do have a power limiting circuit that can reduce the drive signal to the output transistors, but it doesn't shut the amp down.
When a power amp is driven into clipping for a sufficient period of time, the increased duty cycle can build up heat in the output transistors. Heat can also build up by driving a lower impedance than recommended speaker load. Some amps have a thermal circuit breaker mounted to the heat sink and if it gets hot enough it will shut down the amp until it cools off.