I'm not the OP either but my brain seems to work the same way that yours and theirs do. I'd say you did a good job of describing how it works for people like us.
One difference though is that you don't seem to have the visual recall that I do. I don't have a "photographic" memory but I could probably recall the hypothetical map as a visual object and examine it for additional information that I didn't notice the first time.
I can personally push it to a visualisation, but it takes significant mental effort, and the results are unstable.
You may actually be better at this than I am. Describing my results as "unstable" would charitable. I also don't get dog breeds, just amorphous and blurry blobs with rorsarch like colors slapped on them.