I wonder, though; don't you have enough doubt to consider this a probable scenario? Don't you consider it a time waste to start searching for what could Satoshi have put as private keys in the improbable scenario they wanted to make this unfair reward?

Don't you have enough counter-arguments? What else will make you convinced?

But, Satoshi's public keys are known. Back in 2009, the coinbase transaction was P2PK, not P2PKH. So, they couldn't mine to a burning-looking address. They had to firstly mine them and then send them to such address.