Thank you, I meant to include IMD but forgot. Good thing it is still editable so it's done.
One thing about IMD is that it is related to HD, and if THD is low, IMD tends to be low too.
I also added the link to an IMD listening test, again, mainly just for fun.
There are other factors too obviously such as FR, SNR, DR, DF but those are easier to understand and hear, much less controversial for sure. Another important one is IMD but from what I gather, like DF, TIM, or TIMD is no longer consider much of an issue:
Intermodulation Distortion (sound-au.com)
"..........TIM (transient intermodulation distortion) (aka TID - transient induced distortion) has been the topic of considerable research, and although it's now considered to be largely irrelevant,......................."
My guess is that slew rate used to be more of a challenge, but modern amps generally have more than high enough slew rate.