So I read the paper, and it is kind of a cool experiment, but it does not show that "future choices can affect a past measurement's outcome." Explaining why would require a separate article (maybe time to re-open main!) But the TL;DR version is this: if you want to argue that A affects B then you have to show a causal relationship that runs from A to B. If you can do that, then you can always come up with some encoding that will allow you to transmit information from A to B. That's what "causal relationship" means. But that is (unsurprisingly) not what Aharonov et al. have done. They have merely shown correlations between A and B, and then argue on purely intuitive grounds that there must have been some causal relationship between A and B because "Bell's theorem forbids spin values to exist prior to the choice of the orientation measured." While this is true, it's misleading because it implies that spin values do exist after a strong measurement. But that is not true. There is no fundamental difference between a strong and a weak measurement. There is a smooth continuum between weak and strong measurements, and at no point during the transition from weak to strong does the spin value begin to "actually exist" (a.k.a. wavefunction collapse).