Why would anyone want class AB amp when class A always sounds better ?

Seems to me that everyone is addressing the question solely with regard to SS amps. Ask the same question about tube amps and I think it would be generally agreed  that a pure class A SET will win out over a class A/AB push pull triode as long as they are matched to the right speakers.

J.Chip

Why would anyone marry a brunette when blondes always have more fun?

Develop some awareness of the topic
https://www.electronics-tutorials.ws/amplifier/amplifier-classes.html

Dan D'Agostino also thinks distortion adds musicality to his amps.
https://www.youtube.com/watch?v=JW7fg_yfza4

The history of audio shows that you cannot make blanket assumptions on any product based on theory: There are too many variables to make any conclusion that class A is always sounds better than class AB. The results are aways dependent on the synergy between the amp, speakers, and room.