I just really strongly disagree with the notion that ones experiences as a player are relevant to their quality as a manager. It isn't true.
Coaching is an entirely different discipline, and understanding the game as a coach is an entirely different thing than understanding it as a player. It gets proven over and over and over again.
Ange also developed as a coach in low-level backwaters, so some part of your point still stands, but the "good head for the game as a player = good manager" thing is nonsense.