I'm not too sure about the "push the button" to turn off especially if the radio is being run from an "always on" wall-wart, especially if the button is marked "Stby". If there is a lever-type switch or a rotary switch that definitely says "Off" then I'll believe it. Anything that turns on from a remote control or a timer is definitely still "On" all the time, just dozing. Any large bit of equipment with a high stability oscillator in it is liable to be "On" as well, although it may have a "Stby" or "Oven" light on.
What's wrong with pushing the Power button to turn the radio off? Like what has been previously mentioned, if every time when you've finish with your radio and turn it off at the mains -- I'm with what
KB4MSZ said, that is every time you switch the PSU back on at the mains power, there's going to be that surge of power slamming into the PSU which the circuitry has to immediately deal with in a way of resistors, transformers and all sorts of other electrical components. Everyone has their own way -- I'm sticking to my way -- the power supplies for both radios are ON 24/7. So yes there's still power going into both radios -- never had any issues before, no overheating, nothing.
(by the way, if you have one then you'll already know but if you dont ... the AOR 8600 Mk2 does have a rotary volume dial which if you turn fully anti-clockwise and give the dial a harder turn when it stops, it then clicks to turn off the power completely -- no need to turn the PSU off at the mains unless you're one of these campaigners for turning off all electrical devices at the mains power to help save the planet reducing CO2 emissions
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