E.g. if I draw a fantasy drawing, it will be closer to impressionism in style, the same way as if I draw something in front of me. It'll be messy. If I draw from memory, the lines are clear, and stylized.
The clearest example of that was an art class at school where we were asked to draw our shoes first from memory and then while looking at it, and both were highly detailed, but without any conscious decision, the line-work was entirely different.
Same as you when it comes to the "ball rolling" scenario. It "has" the properties people add to it, but if they're not affecting the behaviour, they're just verbal labels attached to an abstract concept - I'll remember them, but they won't change anything about the "imagined" scenario.
It’s as though the connections among things are dimensional rather than visual. I can “render” blueprints as this thread discussed, or know which way I’m facing deep in an intricate tube station, but am not “picturing” it, it’s just, this is how these things relate in space time. Although I can do the same with exterior architecture (is that an image?) or street corners. I don’t think I’ve ever “seen” anything: picture yourself on a beach, counting sheep, always assumed were metaphorical expressions.
I also feel concepts are dimensional, and can tell if a piece of a concept is missing because where it should be is empty. Think how periodic table of elements worked.
A red ball on a green table maps to billiards in dimensional concept space so I can render that too.
If you wanted me to draw an abstract floorplan of my house, or the layout of my town, I can do that easily. I can navigate an extended road trip unassisted by simply looking at a map ahead of time and mentally storing an abstraction of where I need to go. But if you wanted, say, an image of my house, or the main intersection in the middle of town, or anything like that -- I'm no good. I can't "see" it, and I would not be able to draw anything remotely accurate.
To circle back around too your "imagine" vs. "see" problem -- my response to the often-referenced "imagine a ball rolling on a table" exercise often elicits some confusion from people. I can imagine a ball rolling on a table just fine. What color is the ball, though? It has no color. What size is it? It has no size. It is just "a ball", in the abstract -- its only property is shape (spherical), which is ultimately all that is necessary for imagining rather than seeing. If you wanted me to visualize a large red ball on a green table, though, that's beyond me.