Earlier quoted context omitted.
You can have a conceptual model of how things relate in space. Something like a class diagram or a DB schema. It doesn't need to be visual.
This seems totally contradictory to me.
These two skill sets appear to be divergent, i.e., people are either good at visualizing and recalling fine details or they are good at manipulating/reasoning about spatial objects.
Personally, I have always excelled at the latter and have a strong sense of direction and have scored well on tests that require one to manipulate/rotate objects in my brain.