Also your final assertion that teams set themselves up so their best players get the ball the most seems a bit off to me. Consider FC Barcelona. Lionel Messi is arguably their best player but you would be hard pressed to find a game in which he has the ball the most since he plays high up on the pitch as an attacker.
I agree with you in that single match analysis using this technique doesn't really produce any new insights. I think this analysis would be very interesting when comparing between different games however. e.g. comparing Italy's match against England where Pirlo was effectively given free reign of the pitch to their match against Spain where he was shut down for most of the match. I would love to get my hands on some raw data from Optasports!
(From http://soccernet.espn.go.com/gamecast?id=323887&cc=5901 )
http://itunes.apple.com/gb/app/total-football-2010/id3755679...
http://itunes.apple.com/gb/app/fourfourtwo-football-stats/id...
http://itunes.apple.com/gb/app/euro-2012-football-stats-zone...
If anyone the closest Spain have to a trequartista is Fabregas, though he was really more of a false nine. The idea of a false nine is that you play an attacking midfielder or second striker, but there's no striker in front of him. This pulls the defenders out of position so you can get around them.
You might say that Iniesta, Fabregas, and Silva were listed as forwards. Actually, Spain didn't usually play any forwards. It might have been listed as a 4-3-3, but it was more of a 4-6-0 with three attacking midfielders. There's two reasons for this: one was that David Villa is injured and Fernando Torres has had shaky form for the past two years, and the other is that Spain has plenty of great attacking midfielders. Individually, David Silva, Andres Iniesta, Cesc Fabregas, and Juan Mata are all major stars and are (or were in the case of Cesc Fabregas and Arsenal) the main creative force for their respective clubs.
Similarly, for Italy, I don't need any graph theory to know that Pirlo gets the ball the most because (A) he's their best player and (B) because he plays in a deep position in the midfield so it's easy for him to get the ball from the goalkeeper, defenders, or other midfielders.
Long story short - teams set themselves up so their best players get the ball the most. You don't need to be a mathemagician to dig that nugget up.