I agree. It would be better to come up with some sensible mission profiles for starbases. @SSiron’s examples are pretty good. Two mission profiles does not make sense, even less so for some of the starship mission profiles.
The mission profiles does not necessarily define what the starbase does right now. Deep Space 9 was originally an ore processing center (which I guess would be the Support Station profile), but now it is both an important trading post and front-line defense station.