The top at least was at room temperature during my testing. Heat may be dissipated on the bottom. I forgot to check that.
But yes, if you don't need an amp to be small, there is no reason to get one with everything stuffed in a little box.
Thinking about this - heat developement is a pretty interesting thing to know about gadgets. Specially for lifetime expectation or if it's possible to place them inside a narrow space or next to sensitive stuff. Maybe it would be possible to establish a short test for this? For example 1 hour running idle after testing and then measuring the case temperature?