title_body: Is the concept of “spatial aspect” attested in any natural language?
upvoted_answer: I don't know of any languages where spatial marking is thoroughly compulsory in the same way aspect often is, however I do know of some potentially interesting cases of spatial marking. A lot of Papuan languages have grammaticalised systems for showing directionality and location. They are usually described as being relative to the speaker, but in at least some cases I have found them described as being relative to either the speaker or the village, or some other not wholly speaker-focussed system. The Nimboran languages in particular have highly complex systems e.g. Wilden(1976) describes Kemtuk as having the following system: https://i.imgur.com/cYKT8xS.png, but says that it is optional.  Anceaux (1965) describes 16 different spatial categories in Nimboran proper, but in a rather unhelpful manner. He notes that the unmarked position category, when the speaker is involved has a specific meaning of "near the speaker", but that it is also always used when the speakers position is indefinite or irrelevant, such as in stories or general statements. In at least some languages I have looked at, these markers were compulsory with motion verbs.
  
  A somewhat different system involving location relative to other events is described by Huisman (1973) who reports that Angaataha has a class of medial verbs which are inflected for whether they occur in the same place or in a different place as the following conjunct.
  
  As far as I can tell, none of this completely satisfies your request, but it shows that at least some things are definitely attested, and distinguish other, or more fine categories than what you've found yourself.