There’s no moving coins by “mistake”. Any move made would be quite intentional and Satoshi moving his coins would surely cause a stir in the crypto market. Although, the stir caused by a move would depend heavily on where the coins are being moved to.
If the coins are moved to an address of a known exchange, then there’s the likelihood of the coins being sold for fiat or whatever. Now that’s a move that I think its sure to cause some movements in the price of bitcoin. But if it’s a harmless move from an address to another, it would only confirm he’s still alive and kicking.