All depends on how you look at it.
No matter what kind of airspace it is if something happens the military will be doing the intercepting and shooting down if need be, so they are the only ones who are capable of physically enforcing the rules. In which case you can say that military own all the airspace.
You want to just end this discussion? It's really going nowhere. I think we both agreed who the airspace officially belongs to, everything else is just BS.