Absolutely I proved it. Because I said nothing is there. So, by your definition of reliable theories my claim is valid and you must assume that to be true. And you can't prove otherwise.
See why your method sucks?
Well actually, I could prove something was there. I can just reference the material that is out there, but it's not up to me to prove anything. Again, there are eye witness accounts such as D'arcy O'conner, there are various articles, statements from other witness, video and photography, as well as tangible physical artifacts that came from with-in the pit as well as around the island. All this has been established for a hundred years or more. You are saying everyone is lying because there is nothing there. I say "okay, prove that". Your response? "Because I said nothing is there".
"My method"(as If I just made this up), has been used in American court of law for hundreds of years. You are the procescuter, the story is the defendant. The burden of proof is on the debunker.