Not really, all it requires is someone to produce a signed message with one of Satoshi's private keys, which can be easily verified with the public addresses on the blockchain. Whoever produced that message can be proven to possess that private key. Nothing short of that would be believable by the crypto nerds.

If we presume that Satoshi understood that Bitcoin may be valuable one day and kept the keys private, that would mean that the signer really is Satoshi, or one of his associates or heirs Satoshi trusted wih access. Even if that person wasn't actually Satoshi, their word on who it is would be considered authoritative.

Unless it's Craig. Fuck that guy. Nobody believes him.

"With great claims come great responsibility"

That guy from Spiderman, probably

I hate how this phrase has been abused so much. There's nothing particularly extraordinary here--we're not talking about bigfoot or aliens--and the whole point of a documentary like this is to lay out evidence.