I believe many managers do know and do care. Some of them are not great people, but many are.
The problem is that they have 20 years of training to never stick your neck out. You will not see many managers take any initiative on this, regardless of their personal feelings, because our culture was one of robotic compliance for so long. They won't initiate something here until instructed to.
And the irony is they likely won't get that instruction for quite a while. Because part of the "don't stick your neck out" thing is telling people not to make a fuss. Dont complain up the ladder. Because why would want your boss to know your group has a morale problem? That might look like its your fault! Best to just keep your head down. I suspect most morale reporting dies at the DH level. A small amount may get to the Division or VP level. And by the time the message is getting to Dallas there isn't a morale problem anymore.
Reposted from @1kxo+1croPOpA, perfectly said.