Back in the days of "all tube" devices, it was regarded as good practice to leave them running.
This was mainly due to warm-up time affecting the stability of the equipment.
With mainly solid state equipment, using SMPS (& CRTs), there are two major problems with this practice.
(1) SMPS "start" circuitry often fails in a non destructive manner, so the power supply, once on, continues to operate happily, day after day, week after week.
If a power failure happens, the SMPS will fail to restart.
We had this happen with four Barco Picture Monitors, which were normally on 24/7 at my old job.
After a power failure, the EPP took over, & everything came back, except these four Monitors.
Picture Monitors are in great demand at TV Studios, so a major panic ensued to find replacements.
After that, we turned them off from time to time, reasoning that at least we were prepared to fix one if it failed on our own "timetable".
(2) Any device with a CRT, if left on continuously, will burn up filament hours, ultimately reducing its useful life.
Apart from the above, & really a bit off topic, is when I was regularly called on to "degauss" a number of 27" Picture Monitors which lived in the various Studios.
They were normally left on 24/7, by the Floor Manager & his team, & unlike the smaller rack mounted units, didn't have a "degauss" button, relying on the degaussing circuit operating at switch on.
I started turning them off whenever I knew they weren't going to be used---- result:- No more " degaussing calls" plus longer CRT life.