> refer mainly to power amplifiers?
Not fundamentally; but yes.
You always get the most amplification for the least cost with Class A. Also low distortion. If power output is small, and battery efficiency is not killing you, this makes Class A a no-brainer for almost all work.
When you figure out a job for big power output, and wonder "Where can I get a tube/transistor that big??" or "Jeez! That battery will go flat fast!", then you look into the other classes.
That's for "clean", which is the goal in almost ALL audio work. Distortion pedals are something else. The classic FuzzFace, among many others, idles in Class A but when you beat on it it de-biases through Class B into Class C. And not push-pull B (clean) but single-side B (half the wave into SE C (less than half the wave). So 2 bucks of parts covers all 3 "classes".