Having owned a Audio store , digital is left on for it is not high current per se ,but there are a few that have Mosfets that do consume , a bit of power.
To sound at their best ,digital needs a solid 24 hours to sound its best ,on average.
amp, preamp , only take 30 minutes or so to get up to temperature ,
I just shut off ,mine has a mild stand by when shut off a few watts keeping the circuit warm , which is a very good design ,like a standby . Any vacuum tube gear , shut off , or standby if available .

