What else should we base on who the real Satoshi Nakamoto is?
There is almost no way to prove who he is unless he wants to be revealed.
As I wrote, Satoshi knew all this.
Satoshi could move some of these coins and and show how the privatekeys were implemented into the blockchain. This is the only possibility to prove that he is the real Satoshi as nobody else could know it. Even if someone else finds a privatekey (or a bunch of eg 10 privatekeys) of these coins, this person can't show another one. But the real Satoshi can, as he knows for all these coins the solution. But he will not, he is waiting that someone finds it and moves the first coins, others will follow.
If it is necessary, he can show how the privatekeys were implemented into the blockchain and prove that he is the real Satoshi. But he will not, he is waiting that someone finds it and moves the first coins, others will follow.