[paulgb]

The thermostat he describes is not stateless, the key phrase is "When the temperature is too high by some amount" (emphasis mine) -- the thermostat will turn on outside a particular range.

This matches my understanding of a simple thermostat, is it wrong?

[TeMPOraL]

The JS simulation doesn't demonstrate this, though; the bang-bang controller keeps oscillating in very short steps around the goal.