Lets make this simple and short. (Difficult task for me sometimes).
The academies want and "EXPECT" all of their graduating cadets who become commissioned officers to be educated, leaders, physically fit, team concept individuals, and well rounded when it comes to many other facets concerning people and perspective.
Do the Ivy's also produce some individuals like this? Most definitely yes. Do the Ivy's "CARE" if the individuals graduating from their schools have these attributes? No, not at all. The schools couldn't care less. You paid your money; you passed your classes; you received a diploma. That's all they "Care" about. They want to ensure quality of education so alumni can promote a good image for other potential students in the future. But that's all they "Care" about.
They don't care if you graduate and weigh 300 pounds and would die if you tried to run a mile. They don't care if you take your diploma and put it in a scrap book and spend the next 30 years flipping burgers. They do have an image and don't want to see their alumni on the "Most Wanted" lists. But that's strictly for economic image purposes. But as an "INDIVIDUAL", the Ivy schools have absolutely no stake or investment on what you do once you graduate. Do they "Wish you well" and hope that you do great things? Sure. But so does your high school counselor.
The academies and the military as a whole, have a much more personal interest in you once you graduate. Now, you can disagree if you'd like. That's fine. Some may even say we should "Agree to Disagree". (I never do that). I know what the mission and core values of the military are; and their interest and investment in their Cadets, Airmen, Soldiers, etc... are. They are no where near the same as a civilian school. Even the Ivy League Schools. Yes, there are plenty of Physically fit, Well educated, Well Rounded, leaders who graduate from the Ivy League Schools. The difference between the Ivy League School and the Academies is: "The Ivy League Schools, that outcome is OPTIONAL and totally dependent on the individual and their personal motivation". At the academies, it's NOT OPTIONAL. And if you don't meet such requirements and expectations, it's possible for you to be thrown out of the school. I don't know of ANY Yale or Harvard student kicked out because they were too fat and couldn't do physical fitness tests. Or a number of other reasons.