I have four Class A amps. I run two of them bridged in one system and each one is over 100 pounds of radiating fury. That system is not one I listen to frequently during a hot summer - they would drive you out of the room in a bit of time. Great in winter, though.
I doubt that you have anything to be concerned about - that is just the way Class A normally works.
I doubt that you have anything to be concerned about - that is just the way Class A normally works.