That said, the Army most certainly DOES have regard for its enlisted. When things like this happen, bad PR follows. Bad PR is bad for a variety of reasons, one of which being that it makes recruiting more difficult. People will be much less likely to join an organization which doesn't care about them, and would thus require more incentives to do so, incentives which cost money. Two: soldiers, airmen, etc go through a pretty intensive training process that lasts several months at a minimum, and that training isn't cheap. By the time you're a full-fledged member of your respective service, your service has a lot of money invested in you, and the more advanced in your career you are, the more valuable you are to them. Soldiers cost more money than you imagine. Three: morale in the military is of paramount importance. Without good morale, operations break down. If a group of soldiers feel that their leadership doesn't care about them, morale quickly goes into the toilet, and that has all sorts of detrimental and pervasive effects.
When I was in the Army, I got sick of having to always go to another meeting about another program that, should we need it, was available to us. Everything from PTSD counseling to going outside of your chain of command if necessary to financial counseling to healthcare to complaining about the food, barracks, or what have you - there were channels galore to address grievances. They not only create these programs, but they force you to be aware that they exist. These aren't programs created just for show; they're programs which are created to be used.
This isn't the Vietnam Era. The military is an all-volunteer force, and unless the draft comes back, it can't afford to not care about its members. In an organization of many millions of people who constantly deal with difficult, dangerous things like this, incidents will occasionally occur, but they are the exception, rather than the rule.