What exactly would the AI do in your idea?

I don't know what you mean by "published" their pubK but you should know that:

• Almost all coinbase transactions (newly generated coins) in the first two years were paid out to public key (P2PK-addresses). In other words: all these public keys are known as they are "published" in the blockchain.
• For all the P2PKH-addresses the public key is not known, only the hash, unless the address has been used even a single time in an outgoing transaction. In that case the public key is known and once again "published" in the blockchain.

So instead of claiming only a fraction of addresses have published their public keys I would say most of them are known. But once again: if you think you can use the "published" public key in order to find the corresponding private key I have bad news for you. That is not going to happen..