In practice for "quality" we normally have a yardstick for performance which is being improved continuously (e.g. success probability, quality of a solution to an optimization problem, ability to win in a game), while for generality there is often no such yardstick. At best this seems like a difference of degrees rather than a difference in kind though.

I don't know if there is some more convincing distinction. I can't think of any arguments that depend on a distinction.