Tony Allen and Perk both recovered nicely from knee injuries. This leads me to believe that the problem is less with Lacerte and more with the individuals. Perk and Allen I've read worked their butts off. Some of the others did not and correspondingly they recovered slower.
West doesn't look like he trains at all in the weight room, if your arms are twigs they are easier to get hurt. I am not advocating him to become muscle bound but develop some strength and durability, already.
We've got some old guys and there is very little a trainer can do to combat Father Time. Again, the individuals in questions often hold the keys to their own fates. Look how good of shape Ray is in but dude works out. There is nothing a trainer could have done to prevent Daniels injury. A bigger neck might not have got tweaked as easily but at some point too much muscle hurts a basketball player. I don't think that one was on Lacerte.
I think Delonte is a slacker in the weight room, look at the guy. Rondo has bulked up some since coming into the league but not West. Even a hard gainer could have shown some progress in this time. Dude plays hard on the court, but his conditioning and training habits need to be looked at.