For only one hour use break, I would leave it on, to waiting you come back. But shut it down if break is expected to last longer. ADI has practical automatic shutdown timer -function on board, to do this automatically. Check settings.

As you may have already noted, ADI is one quite hot running little box.
Thermal stress ages electronic components, although ADI´s components are very high quality, that should withstand it very long time.
You can ease its thermal stress, by using AutoDark -function and/or lowering the brigthness of its display. If your use environment doesn´t need a lot of display brightness, and/or operating display-off is practical for you, of course.