All we know if that many of the early block rewards have not been touched and that many of these likely belong to Satoshi.
I would expect that some of the early block rewards that have been moved also belong to Satoshi. He could use these without causing a stir, of course, as no one would have any idea that it was him. Furthermore, even if he moved a few coins from, say, 2010, I don't think it would really be noticed, as those coins could belong to many people.
So you are saying that you can see who the sender is, but how?
How do you associate the receiving address, with later sending to a different address and a different wallet?
All transactions are recorded in the blockchain, so the sending and receiving addresses for every transaction are public. Whether an address can be tied back to a
person depends on whether a link has been made between that bitcoin address and its owner.
Here's an example: someone just donated 5 mBTC to the Dorian Nakamoto donation fund:
https://blockchain.info/tx/3a19fc45a21db26b1d6030722e7327184985c0a0c29ab54e1b4a3b2ea21a05ecWe know Andreas currently controls the 1Dorian4RoXcnBv9hnQ4Y2C1an6NJ4UrjX address, because it's all over Twitter, Reddit, and he's posted a PGP-signed message (which I haven't verified BTW but I trust the existing evidence that this is him).
But who sent this 5 mBTC donation? We know the funds were sent from bitcoin address 1Lmp8bLw1ViSXXB339XwqyETVFypEEsYZf but I have no clue who controls this address and nor do I care. However, if the owner of this address wanted to prove that he made this donation, he could use this address's private key to sign a message to prove it! Make sense?
Now, in the case of Satoshi, it's a bit different. Here is the 4th block ever found:
https://blockchain.info/block-index/4You'll see there are 50 bitcoins sitting at address 1FvzCLoTPGANNjWoUo6jUGuAG3wg1w4YjR. We don't know for sure, but there's a reasonable chance that Satoshi mined those coins because we know he mined a lot of the early coins.
So if 1FvzCLoTPGANNjWoUo6jUGuAG3wg1w4YjR made a 50 BTC donation to Dorian, everybody would be jumping up and down right now!