People who understand about Bitcoin will not believe in it, and can not identify Satoshi Nakamoto or any Bitcoin owner if there is no signed message from a private key of a public address that is known. Another way is message signed with PGP key.
Without these messages with Bitcoin private key and PGP key, anyone who claim to be Satoshi Nakamoto, is not enough to prove it like Craig Wright failed.
Satoshi is alive and even now making transactions on his accounts.
For example 5 accounts:
Created 2009.01.29: 1C4rE41Kox3jZbdJT9yatyh4H2fMxP8qmD
Created 2009.01.30: 18E5d2wQdAfutcXgziHZR71izLRyjSzGSX
Created 2009.01.31: 13J8FkimCLQ2EnP1xRm7yHhpaZQa9H4p8E
Created 2009.01.31: 1MBBJBFEaYKHFZAeV7hQ7DWdu3aZktjzFH
Created 2009.02.02: 1CGT3Ywaa2upJfWtUtbXonDPNTfZPWqzmA
Each account had 50 BTC frozen, which were transferred on 2024.09.20.
Let me remind you:
2009-01-03 - Satoshi Nakamoto generated the first Bitcoin block (received 50 BTC).
2009.01.10 - The second to generate a block was the late Hal Finney (received 50 BTC).
2009-01-12 - First transaction, Satoshi transferred 10 BTC to Hal Finney.
The real Satoshi is Adam Back.