I don't know if the planar is the same as the cheap webasto copies but on those, the heater never really 'turns off' whilst in use, once at desired temperature, the fan and fuel feed frequency will ramp down to an idle, and stay there so long as the temperature is maintained. If you open the doors and let the warm air out, it will ramp back up until its back at the desired temperature, then ramp back down again.
The only time the heater shuts down is when the power button is pressed (at which point it will actually speed the fan up again to clear any unburnt fuel in the heater before shutdown) or if there is a fault (like out of fuel or overheat/flameout conditions)