Bitcoin could literally be someone here, buying it, memorizing they keys, and walking to an organizer and writing it on a piece of paper for him.
This is why they hate it bitcoin.
Among the many myths about bitcoin is that it is anonymous.
While bitcoin does not have a mechanism to tie a wallet to an owner, every single transaction related to every bitcoin wallet is public by definition since it is part of the shared ledger and is absolutely essential to mining coins.
So much like the using phone call metadata to track someone down without actually listening to the calls, metadata derived from each wallet could be used to tie a wallet to a person.