  Recent works have revealed that quantum extremal islands can contribute to
the fine-grained entropy of black hole radiation reproducing the unitary Page
curve. In this paper, we use these results to assess if an observer in de
Sitter space can decode information hidden behind their cosmological horizon.
By computing the fine-grained entropy of the Gibbons-Hawking radiation in a
region where gravity is weak we find that this is possible, but the observer's
curiosity comes at a price. At the same time the island appears, which happens
much earlier than the Page time, a singularity forms which the observer will
eventually hit. We arrive at this conclusion by studying Jackiw-Teitelboim
gravity in de Sitter space. We emphasize the role of the observer collecting
radiation, breaking the thermal equilibrium studied so far in the literature.
By analytically solving for the backreacted geometry we show how an island
appears in this out-of-equilibrium state.
