The question was: Is it possible, that Satoshi used precalculated addresses and not random addresses? (And this was an honest question.)
And we went one step further, saying that IF THEY DID, it wouldn't create a fair wealth distribution.
(And would also give impersonators the chance to pretend they're them with proof)What you're asking is answered. It's possible, yet highly unlikely by any means, judging by the arguments.
Because, if they chose random addresses, it wouldn't be possible to move them. Thereafter others will follow and move coins.
How can you really make this conclusion? Aren't they users of the system? If you witnessed a transaction which spends the coinbase reward from a very early block, do you conclude that someone found Satoshi's keys? Isn't it possible that the owner of those keys (who may not be Satoshi) just moved their money?
What is the difference between precalculated addresses and random addresses?
A randomly generated address is an address whose private key can't be predicted by any way. For instance, your wallet generates unpredictable entropies and hence, addresses. A pre-calculated address isn't that one. For instance, if you hash the “BlackHatCoiner.com”, you'll get this number:
3ce87d55b262b6e652977da02b277155be94bd8971f2695affef2068fd73658e
Which gives this WIF:
KyG7EsqabqCegycmfU7pTYS1vb1Ma4Ni8dvXi1BgA5gLw9MiwCz7
And if you import it in a wallet, you'll get:
1559QhHfcnq1XrCh1XbgswDeMtAHFvk9HJ
So you just created an address in a non-unpredictable way, which is obviously vulnerable to people who brute force such stuff.
Adding this quote, which is relatable;
The simplest explanation is usually the right one