Might be a nice idea, though I would use it slightly diffrently.
Marker type a) Song intro, chorus, verse, etc.
Marker type b) Root note, Chords, etc
Marker type c) tempo
The good thing; everyone could use the filters as they need.
In the optiobs there should be a setting to toggle 'Jump to next marker' behaviour.
I.e. ignore hidden markers or not.