In this paper by analogy with a process $e^+e^-\to e^+e^-$ Andrew Strominger proposes that in black hole evaporation there is creation of soft photons and gravitons. This can be argued by infrared finiteness or by conservation of Large Gauge Symmetry and BMS charges.
Now, as far as I know, at least for a massless scalar field, the black hole background behaves as a kind of potential barrier $V(r_\ast)$ in terms of the tortoise coordinate:
Here $r_\ast = -\infty$ is the horizon and $r_\ast = \infty$ is null infinity.
Now from this potential it seems that a soft mode, i.e., one with very low energy, simply cannot escape to future null infinity. In other words it seems to reflect back.
Now, if this is also the same for soft photons and gravitons, what happens to these soft photons and soft gravitons Strominger proposes to be produced in black hole evaporation? Do they escape to future null infinity, and if not, where they end up?
Is this somewhat related to the "holographic plate" which Strominger, Hawking and Perry mention in this paper?