It just hit me that the way we reason about things is our brain taking advantage of its different capabilities. Or, in other words, our brain leverages different aspects of our inner experience to think!
Some preliminary googling tells me that this list is missing Unsymbolized Thinking, which is basically when you intuitively know the solution to a puzzle, or know what you're going to do next without thinking about it. I can't immediately think of a way to link this to any neurological function, maybe its just your stream of consciousness?
I draw a distinction between visuospatial and visual thinking because personally, while I can't picture things with great clarity, I am very good at manipulating these images in my head. I think this is why I have an easier time with physics / programming, because I can literally manipulate a model in my head or think about a system structurally.
It's interesting that when I ask people whether they have an internal monologue, they're often shocked to hear some people make any decisions—or even function at all—without a voice in their head. Or, on the other side, can't imagine always having your mind rambling at you with no way to shut it off. Personally, I find I lean more on intuitive / visuospatial thinking, and when I bring out my inner voice to reason something out, it has to sputter up like an old engine.
I'd love to hear other people's experiences with this! Things like aphantasia massively affect your aptitude for certain things / the way you move through the world, so I've always been surprised that this stuff doesn't come up as often in common discourse. There does seem to be a lot of research on this that has been done recently so maybe that'll change in the coming decades.