This sounds good and I have often said this myself. Think about Gen. Wesley Clark and the many like him. The problem is that the military has become too much like other government and civilian bureaucracies. Generals are survivors. Often the ones who have risen to the top are just good at politics. They are afraid of risk and they are hyper-concerned with political correctness.
Yes, their career depends upon being hyper-sensitive and this is precisely what they are trained to be. The selection and tailoring process starts early; they are trained to be politicians as much as great military leaders-- it is easily seen in the academic curriculum at the advanced leadership service schools. IMHO, some really great ones manage to still get through this process, BUT (1) their hands are tied behind their backs in combat operations so they can never command as effectively as they are capable of, and (2) a considerable fraction of the time that could have been spent on mastering operational art and command training during peacetime is spent on political grooming and PC training so that they never realize their true potential.