I feel like its unfair to say every single direct manager doesn't care about their folks. I care about each and every person on my team, I care if they are engaged and if they can do their job. I care if they get sick and give them the time to make sure they feel better. I care about their career and try to help them along. Maybe I'm the minority, but I think that lots of managers of ICs should and do feel this way. As you go up the ladder, i can see that going down as the scope increases, but thats why you have managers, to keep attention to those details. Now i've had directors and stuff that do not care about their managers. I've also had managers that aren't great and don't care.
You are 100% correct though, we are all cogs in the machine. In the end, the people at the top don't care about anything below them if it isn't making them an the shareholders more money. If they do, they are a unicorn and i hope everyone gets to work with someone like that.
When I was laid off from RAX, it was a super emotional time. I had a job where I got to hang out with my friends and good people doing good stuff, and we also did some work (the work we were doing was so enjoyable most of the time, it didn't feel like work). I've never been able to capture that since and it has contributed greatly to my desire to get out of leadership roles.