For me, there's only degree of clarity of anything perceived/imagined by a human being. The common conceptions of virtual/imaginary/factual are all fine but limited compared to its full potential. If you really into any field be it is dealing with facts or imaginations, you'll find all kinds of progress will let you turn all focus back into your own mind. Thus, you'll blame others less, and concentrate on your own value more... like u can always be in a calmed state while still can use your head to solve real problems... It empowers and makes ur life manifold...
In its gist, math/logic is at the clear-but-abstract spectrum of human mind's virtual "imagination", while common story-telling (pretty much everything else human experienced) is at the other vivid-sensational-while-murky "imagination" spectrum, with physics modeling linking in between. It's like QM uncertainty principle, a layperson cannot fully understand both ends who is not math educated.
Most people will regard math as absolute truth, such as number 2 is real and really exists in some Platonic spiritual world apart from this imperfect material world (sounds like dualism here). But my view is contrary, number 2 (or any math) resides in the same "metaphoric" realm of human mind, just happen to be the relatively most clear-countably-verifiable-universal metaphor. I don't opine separating the noumena from the phenomena as a serious business, its useful for some purposes, but all these concepts and separations are still man-made (fake) analogies and stories consciously engineered to explain to a naive but confused child who is actively seeking an authoritative answer from the grown-ups
This world perceived by human mind is nothing but metaphors, that's why we can have several different models/theories about the same phenomena, such as the famous Newtonian Force Laws, Lagrangian/Hamiltonian Minimum Action Principle, and the later Maxwell/Einstein Field Theory in classical physics and then applied further into QM, so far all these above 3 distinct models (metaphors) are not proved wrong and taught in every physics department around the globe. In the meantime, because our mind is constantly forming-destroying-reforming numerous metaphors as free will, most of these created images/processes/analogies are in more or less confused state. For example, if you've never been visiting a place and people around you are talking extensively about it, still in your mind you'll form some vague images from what you heard. Most of these misconceptions are like "avidya" in Buddhism metaphoric teachings, huge huge and thick darkness in the form of ignorant confusions is covering human mind and thus all its derived senses...