Hi Anton,
I'm simply trying to make the point that the sort of nonlocality I'm talking about is compatible with relativity. There are certainly other perspectives in which relativity is taken to be merely phenomenological (e.g., in deBroglie-Bohm pilot-wave theory), or in which it is understood in non-standard fashion (e.g. DSR: doubly-special relativity). I think that the main thing any theory needs to account for is the invariance of Maxwell's equations under Lorentz transformations.
Steve