Class A has positive attributes but you do give up stuff like high power often needed by some speakers and of course there's the heat. Like the real world it's different compromises which vary with your taste in sound and your system.
By the way you often see reviewers citing a preamp is class A. It means they don't know how preamps are designed. All preamps are class A because it's easy on a differential preamp since there's so little current involved. And single ended preamps have to be class A: their topology can only be class A.
I might add that as above all single ended amps are class A. But almost every push/pull class A amp eventually goes into class B at very high output. And the class A portion goes down with lower output impedance for solid state amps. The only exception I know is the old Mark Levenson ML2 amp which doubled power down to at least 2 ohms and remained in class A. And it was the biggest 25 watt amp I've ever seen.

