Everything gets turned off here, for two reasons. The first is the fire risk, and the second is concern for the environment. I think it is really wrong to add even more emissions, and I say this even though we produce nearly (but not quite) all our own electricity.
The proper way to deal with this is to have amplifiers that turn themselves off when they are not used, just like many subwoofers. Such amplifiers are rare, but I have one in the bedroom and it is very neat, with very low standby consumption (an Ava Maestro 50, just good enough for modest bedroom use). It is tucked away in a wardrobe and connected to a Chromecast Audio by way of its optical input. So whenever I want to hear either streamed music or internet radio, all I have to do is get out my phone. The amp is invisible, which I also like (less clutter) even if in this case it is actually very elegantly made. Why can't we have all our amps out of sight and turning themselves on and off?