Could you define 'real' here please?
This feels like one of those 'customary is better because you can't divide 10 by 3 using only integers' claims.
You seem to be asserting that once you divide a circle into 360 arcs, then at a a certain distance from the focus, one of those arcs has a certain meaning.
I would say that because ~ 2 millennia ago the Greeks pinched the Babylonian's use of 360, and the Babylonians came to that number by perfecting a rough days-in-a-year measurement used for astronomy over the previous 2 millennia, a nautical mile now has a derived / coincidental meaning, more so than a 'real' one.
EDIT: And this is before contemplating the complications of living on an oblate spheroid - the NM's length depends on where you are.