If you say that someone is trying to brute force that specific address, I would respond that they will be unsuccessful.
No, I was referring to
why and
how sure you should be there's no such owner.
I am just as sure that the BitcoinEater address has no owner as I am that every other address that has never sent any transactions has no owner. There is nothing special about the BitcoinEater address that makes it any less likely to have an owner.