I guess it depends on the authoritarian government, but a sufficiently powerful one will get the app taken down or get the bluetooth features it relies on disabled (like for airdrop in China) :/

I would say that the underlying issue is that people do not really "own" their devices and the corporations that do are vulnerable to (or complicit in) state coercion.

You cannot truly have freedom on a non-free device, you can just be small enough to not be worth taking action against yet.