What if you just throw "ECO" out the window and leave the AVR on all the time? Instead of powering it off, switch it to an unused input. It might run warmer. It might use a trivial amount of electricity. It might even shorten the lifespan of the receiver.
There are people who claim that it is better for electronics to be powered on constantly vs. being turned on and off all the time. YMMV.
"When I eat, it is the food that is scared." - Ron Swanson