A good essay, that I must reread with attention.
I am thinking that if the Hawking radiation transfer information from a naked, and not rotating, black hole, then each emitted photon change locally the curvature of the horizon (the change of the emitted entropy must change the surface information).
If this is true, then the surface is not smooth, and the infrared emission must contain information of the surface (spectrum and polarization information).
If there are two near naked black hole, then the change of curvature of one emission, change the other black hole absorption curvature.
Then the temperature of the black hole can be not uniform.
The problem that I have is that if you have an uniform emission (like a black body radiation) then there is only a spectrum information (so you can determine only the mass of the black hole): is the information contained in the different time of the emissions?