Hmm, I had always made the connection before, but considered it a retcon of sorts; that is, I figured he always ran that club, and only when we got to see it after this story was the logo on the hat.
But reading the way you tell it, it almost sounds like time was affected; that prior to this, Future Raph didn't have the club, or at least that it went under another name. I wonder if that is what was meant to be implied.