Just stirring the mud a bit here is all.
If you're feeling self abusive, I'd try a thermal limit switch from a HVAC supply house.
..thinking to put it on the leeward side of the muffler for reasons of least amount of direct cooling air blast.
I'd want it to be near the outlet too though.
Should give you the closest practical method vs direct ex gas temp reading
with the least thermal inertia due to the fairly thin wall of the muffler.
i'm Guessing You'd want to set up a latching logic that allows cranking the saw when below temp setpoint
and holds it while running
but when over temp is reached, would prevent restart until cooled below reset temp.
The clogged filter device.
hmmm, does anyone know what the pressure range of a washing machine water level switch is?
tie it into that start/no start logic board also.
The reason for start /no start was mentioned above regarding the problems if the saw shut off in mid cut.
Hmm now is it ok to shut off in a milling cut but not a falling cut.
how does the tool know the difference?
I truly do not envy the design staff at times.