The org psych term for this is "engagement".
https://en.wikipedia.org/wiki/Employee_engagement
Operationally "satisfaction" is an all encompassing term, that doesn't really relate to specific factors. So while you might be "satisfied" with your bank manager, you may not want to
marry her.Engagement speaks of something more: A satisfaction (if you will) derived specifically from doing your work.
As an interesting aside, engagement is theoretically the other side of the coin of "burnout" and is physiologically thought to operate on the same mechanisms as "stress" (or "eustress" to distinguish it positively).
A "satisfied" state relates more to a relaxed, unstressed, disengaged mentality.
Favourite example from one of my textbooks was a lion chasing a gazelle: Both are physiologically experiencing the same thing, but the gazelle is "stressed" whereas the lion is "engaged".
Kind of like that classic experiment of the rat who is given a regular dosage of cocaine and soon starts to neglect any other activities beyond the consumption of cocaine.
Turns out some things you need to be ok, but they don't make you happy. If you don't have them, they make you unhappy. They're called "Hygiene Factors".
Then there's a whole set of things that if you have them, they make you happy, but the absence doesn't make you unhappy. These are called "Motivators".