The Integrated amp will go to sleep, if the amp don’t have any signal from the source. The unit goes to sleep mode to conserve energy. Wake occurs when the unit is booting up from sleep mode. I’m unsure why you have to power cycle the unit to function properly.
I would try a factory reset. but know that you might need to re-rename the sources and re-run the Auto EQ. Factory reset by doing the follow:
Using a small, blunt object, with the power ON, press and hold the recessed
switch for 5 seconds to restore factory default settings.
If you still have issues, I would try updating the firmware, but know that you might need to re-rename the sources and re-run the Auto EQ.