Im sure they do. I don't think it's that much different either. What makes Milan superior is the frequency they do it with, the uncompromising attitude and the experience of having done it so long, I guess. It's the small things. I've got an article in a magazine called Offside (it could best be described as the swedish equivalent to L'Equipe) dated back to 2008, I think. They had an extensive look at Milan Lab and talked to a lot of people. It's a really fascinating read.
What the entire thing boils down to is, a lot of injuries just happen and then you need to treat them during the recovery period. You can't really tell whether someone will get on the recieving end of a bad tackle, or whether they'll twist their leg walking down the street, or whether a tendon will snap unless it shows on one of the routine scans. But you can influence the other things. Stuff you usually take for granted. Like body balance, for instance. Or running patterns. They study the way some players kick a ball which might result in long-term complications. They measure the endurance of each active muscle group and then they assign a special training program to the area that is lacking. They look at things that causes unneccessary wear and tear to the body and they try to reduce it.
The results have been good too. Maldini was 40 when he retired, Costacurta 42. Seedorf is 35, just like Nesta. Inzaghi is 37 and was having a wonderful season until that tendon injury came along. Most of the current squad is actually close to or on the wrong side of thirty.
