I turn off or put into standby.
The Audiolab goes into standby as the hard power switch is on the rear panel and I don't see any reason to turn that off unless going away for more than a weekend. If I'm using the Rotel A11 Tribute amp, the front panel switch is a hard one, so that goes off completely, as it does on the matching CD player. I don't actually use my remotes (which always put a product into standby), not by any decision, I just don't feel the need.
Strangely I don't find it makes any difference to the sound of the kit above, but it did with the NAIM NAIT 3R and 5i, and also with the Rega Elex-R.