My understanding is that the non-locality is a feature of AdS/CFT: The map from the interior to exterior sends information that may be “local” on the interior

My understanding is that the non-locality is a feature of AdS/CFT: The map from the interior to exterior sends information that may be “local” on the interior across the surface (eg, crossing of a knot). That information isn’t lost… but it can get smeared across the surface. You can even imagine a situation where the surface as a whole contains the crossing information, but the projected shadow is locally a pseudoknot which doesn’t contain that locally for any “interaction”. Hence a local theory on the surface would need to not only be quantized (eg, a theory of crossing numbers), but statistically so (eg, a distribution of pseudoknot resolutions).