You described a bank account. You didn't describe how bitcoin works. On bitcoin I don't have to prove an address is mine, I have only to sign transaction if I want to spend.
On bank I have numbers in account. On bitcoin I have inputs that can be traced back to their inception.
So no, it's you who is missing the logic here. And by repeatingly doing that you prove it's you honor your paper deity, while I don't have to add anything.

Have a nice day.