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Nothing would stop someone from being able to share it via the darknet. Tor, Freenet, Zeronet, etc. There's no way that news would be able to be stopped.

Plenty of leaked stuff (like credit cards) moves around on the "dark web" via TOR sites, which most of those won't impact. Not unless they went as far as to make the Android OS check that you're visiting onion sites and scanning for leaked information to block them, which would be pretty extreme.

A government hack would be even worse and, IMO, far more likely.