Dude you aren't making any kind of sense, the Lineal champion and the "real champion" as you put it are one in the same.
Having the RING belt, the oldest belt out there that can be traced back to the 1920's or 30's, is the lineal champion.
Miguel Cotto IS the Lineal champion, his championship can be traced back to Tony Zale and those guys in that era. He beat the guy who beat the guy, who beat the guy. That's who the RING awards those belts to, there's no politics involved and no sanctioning fees.
That said Floyd fighting Cotto for the MW title at a catchweight with no intention on defending it is a goddamn farce. So lets say he does beat Cotto and is awarded the MW title, then what, he sits on it, like the LMW title with no intention on defending it against guys like GGG?
Like I said, it's laughable that Floyd fans are ok with him getting the MW title from someone he already beat, but just mention GGG and the conversation quickly turns into Floyd being too small and why hasn't GGG fought Ward yet.