Earlier quoted context omitted.
How would the blockchain saying that you "own" a domain make you own it more than currently? It is impossible for the blockchain to prove anything about anything that originates from outside of that particular blockchain. This is the reason why wanting to apply blockchain to everything such as land ownership is laughable and shows how little blockchain fanatics understand about the very technology they praise.
When you accidentally lose it (by losing your private keys), it will be impossible for anyone else to get it back for you. In a sense, this will prove to you that you did really own it and no-one else did.
Imagine somebody suddenly "owns" my house because they pickpocketed my house keys, without any recurse. Then I really don't own the house, do I.