I was wondering something similar recently, but my thought started in another direction.
My basic assumption is that there are only 15 types of vis, indeed. This kind of implies that hermetic magic is the "correct" system. Or at least has the basics correctly defined. But:
For example, at the beginning of the Order Vim was divided in 4, one for each Realm. What about Vim vis? Would you have "faerie Vim vis", "infernal Vim vis" and etc (do not confuse with tainted vis)?
For Learned Magicians the question is a bit easier to answer, because they can use Perdo for Vulnero, Rego as Tueor, Vim as Magicam and Fortunam... I imagine that just as Intellego Vim can reveal information about vis, according to the hermetic framework, Succurro Magicam spells to detect vis would give information in a way that conforms to a Learned Magician understanding of magic (so, if examining a pawn of Perdo, he would probably identify it as Vulnero). But then, to give an example, what does he sees Animal vis as? "Unflavored"? And for Vim, is it really that Vim can be used for Magicam and Fortunam? Or maybe there should be 16 types, but hermetic magic can't distinguish between Magicam and Fortunam?
I understand that Elementalists can distinguish between "elemental vis (fire, earth, water or air)" and "non-elemental vis", and can convert non-elemental to elemental (with a poor conversion rate).
I can't recall much from how other hedge traditions see or perceive vis. But I always wonder why we can't just make it a standard that you can train certain supernatural Abilities using vis. For example, a hedge witch with Entrancement should be able to improve her abilities studying from Rego and/or Mentem vis, and a weather warlock with Whistle Up the Wind should be able to improve it studying Creo or Auram.
But back to the main topic, my vision is that there are "probably" 15 kinds of vis, but each tradition sees these types as appropriate for their tradition. Vis that doesn't conform to the tradition is probably seen as "formless" (whatever this means for that tradition) and is often useless.