A few notes here;
Yes, heat does in fact stress components - even designs built to run at high operating temperatures. It is one of the many downsides to a full class A design (which by the way, those Monarchy's are NOT).
Turning your average piece of well built gear on/off will only cause damage if done so irresponsibly. Practice common sense. If you sit there flicking the switch on and off because you're bored or stoned - expect a much shorter lifespan of your electronics.
Full class A designs are one of, if not the single least efficient design in all of home audio. It's analogous to cutting down a tree to make a few baseball bats (made that one up on the fly). Leaving such a piece on all the time is not only wasting a resource, but its a waste on your pocketbook as well. Even with that aside, I refer back to my very first comments about the stress caused by heat. I'm sure you can figure out where I'm going with this.
In all; Turn your amp off after you are done listening for the day/night. If you wont be back home to enjoy the tunes for more than a few hours - it doesn't need to be on. You'll be happier, in the end.