Yep.
You have a true class A amp. Any amp that claims to be class and and doesn't make a lot of heat is not class A.
Stupid class A question
I have a Sugden a21 integrated amp in my second system (my first class A) and I love the sound but I don't play it much in the summer due to the heat. Since it can be used as a preamp, if I get an amplifier, will the Sugden still produce as much heat if it's being used as a preamp? Thanks in advance.