What you seem to be missing is that you need one person alive and willing to prove that he's the owner of those private keys.
Since we don't have anybody doing that, all this soap opera has not much of a meaning. I'd say that this is the point you are missing.
I think even the proof that one is/was the owner of those private keys is not enough anymore. The more time passes, the higher the chances are for someone's privkey to collide with an already used one. While this is not a very likely scenario and the chances of colliding specifically with the genesis/Satoshi's privkeys are about zero, it's not practically impossible especially as tech evolves.. So if someone "finds out" 50 years from now who owned those private keys, chances are this is just a random coincidence and collision that proves nothing.
I don't know after 50 years as it is a long time from now but for the moment those keys are the strongest and most believable evidence that can shed light on who Satoshi Nakamoto really is.I think we should leave him,Hal "Rest in Peace" as he was the biggest pioneer in Bitcoin and a brilliant programmer mind.