What does this equation mean?

That reversal is the honest kill criterion for the headline claim. $\Delta$ $t_{LG}$ does not vanish under fair resource matching — both thresholds are built from the same radiation, collected by the same observer, under the same scrambling dynamics — so it is not a decoder artifact in that sense. It does, however, depend on a joint choice of $\epsilon$ and $\delta$ that this article has no privileged way to fix, and for a sufficiently coarse compass paired with a sufficiently strict qubit fidelity, the ordering in the title simply does not hold. The correct statement is conditional: for comparably stringent, no-external-frame tolerances on both sides, an old black hole returns an anonymous qubit before it returns a compass. It is not a theorem about black holes in general, and any presentation that drops the qualifier is overclaiming what this construction actually establishes.