I wonder if there are some professors only focusing on teaching or management but no research. I think this may be feasible.
In the Netherlands you can have a "buitengewoon hoogleraar", who has a professor position of typically one day a week and another position somewhere else. Often this is an external entity like a company, but this has also been used to give a professor title (but not the pay) to someone who does the managent of some institute.
I am an Associate Teaching Professor. My duties include no research. I teach twice as many classes as my colleagues.
A position as a teaching-track faculty member is not uncommon in US universities. But, it isn't common either. My department has about 4% of its faculty on the teaching-track.