What kind of story do you want you absolute idiot?

Someone sent tokens to blocktrades EXCHANGE and set the receiving account as an exchange account with a memo.

You are so retarded you somehow believe that means blocktrades IS that user!

So.. if I go on Binance and I withdraw to my Bittrex account, does that mean I own the Binance account since it sent my Bittrex account tokens?

No it means you are a than a three year old with a learning disability.