I'm not saying it's a proof by statistics. It's a requirement in order for the system to maintain logical consistency.
We can do whatever we want. We can give citizenship rights to gummy bears because they look like real bears and bears have two arms and two legs just like people. It would be illogical and counterproductive to any real advancement for society, though.
Reductio ad absurdum isn't helping your case. You haven't made an argument, just assertions. Why would giving some rights to a non-human animal break "logical consistency"? Just saying it does is meaningless, provide an argument.