Their is REALLY not team aspect to an individual tournament. The clear motivation is for an individual to win all of their matches. You pointed out that a wrestler could not prepare without a team. Neither could Ali or Johhny Mc. They had to prepare with others just like all wrestlers do. How are these NOT good examples based on your statement? It is a valid comparison from the angle you approached.
Clubs are not teams either. They prepare together and then they are motivated to win individually. Successful wrestlers are self motivated and not team motivated. The Olympic "Team" is just a collection of the most motivated and prepared individuals assembled to travel together and compete as individuals. This sport is built on a foundation of individual motivation. Shawn, you cannot argue that just because you are an outlier and would give up your Gold Medal for a team championship. (I still don't believe you!

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Wrestling tried to promote the team concept commercially a few years ago with the Real Pro series. It didn't catch on.