I'm right to say that minimal or exceptional doesn't change a thing during the game ? If yes, the only importance would be the taping speciality as it's not influenced by the level.
the level change a lot, taping doctors can just "repair" players with a one game injury. With a high level doctor is much higher that it is just a game injury, compared to a doctor with minmal level even when the chanche is the same to repair when it is a one game injury.
So for you, this speciality is affected by the level of the doc contrary to all the other specialities ? According to the manual, it could be the case. Interesting even if I find this stange to have this speciality being linked with the actual level.
career extension is affected by trainer level also, even when it works more efficient with lower level trainers ;)