drnickbone comments on The Fabric of Real Things - Less Wrong
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Why on Earth would they?
Edit: Also that paper does not say anything about cosmological horizons converting anything into Hawking radiation! It's an entirely different and stranger argument.
Well horizons might not behave exactly the same (this is all theoretical physics) but there is quite a long chain of papers arguing that Hawking radiation arises from all sorts of causal horizons, and for the same sorts of reasons that motivate it for black hole horizons. See Gibbons-Hawking effect or look up "de Sitter radiation" on Google scholar. Here's just one paper.
With regard to your edit, the paper by Bousso et al does in fact discuss physical interpretations of the "end of time" effect, and scrambling into radiation appears to be the authors' preferred interpretation. See Section 5.3 on "causal patch measure" and this paragraph: