You can run the decryption locally. The code is on git. The bigger concern is that the League of Entropy will disband and delete their keys permanently.
Yes, essentially. However, the 'pinky-promisers' are large, well-funded, geographically distributed organizations that have strong incentives, both in terms of reputation and operations, to keep their promise
> Knowing the the approximate current state cannot be used to predict future states
The reason these entropy sources are used is because there's no such thing as a perfectly random algorithm. If there's a way to remove the entropy from the system then the whole thing becomes pointless, and you may as well go back to using a pseudorandom algorithm. That's my point.
If you care this much about ensuring true randomness then I'd argue the security of the system should be a primary consideration – perhaps the primary consideration. If you can't guarantee that you're entropy source is random, then you can't be confident of the randomness of the system generally.
I'm not an expert on this though so if someone wants to explain why I'm wrong then please do so.