Our command climate surveys (I just took two of them, one for the hospital and one for the company) are 80% "how does your company deal with EO/SHARP issues", 10% "command-specific issues" which in our case deal mostly with whether or not we feel like the command communicates effectively with us, and 10% "do you feel like your command supports you and are you happy with your job."
Frankly, I agree that the last part isn't really relevant, and I say that as someone who loves the work that I do but hates where I do it. It doesn't matter that much if I'm arbitrarily happy with my job. I mean, it matters, but it shouldn't have anything to do with whether or not a commander keeps his job. EO and SHARP issues are obviously hot-button. They always will be. If most of your company feels like they're being sexually harrassed and you aren't doing anything about it, then yeah you're gonna get canned.
The communication issues could be taken a number of ways. All of those sections have comment boxes where they ask you to elaborate. I would assume that detailed, relevant elaborations would mean more than just checking the "my command sucks" box, but obviously I don't review these things. I can certainly say that I said nothing in my CCS that I haven't said a thousand times to my chain of command, so anonymity isn't necessary. I can also understand why it's anonymous. Part of what they ask is whether or not your command supports you. If the answer to that is no, and it's because you fear reprisal for raising complaints, then you need an anonymous survey. People in my company have, in the past, been threatened with reprisal when they have raised what I felt were legitimate concerns about patient safety. It happens. It hasn't happened to me, but I have watched it happen first hand. So I get the anonymity.
I also get the idea that an entire company could rise up and devour their company commander just because they don't like doing PT at 0530. That is an act of consipracy to large that it should actually reflect positively on the commander's ability to build espirit de corps, but yeah it could happen. For what it's worth, on our surveys, they ask what your rank is. that's not optional. I have to imagine that a bunch of negative E-7 commentary means more than a bunch of E-1s.
Ultimately no one on this threat knows what the cut-off is above which they decide to remove someone from command. I still feel like the problem is above the company or hospital level, and that the CCSs are a tool for scapegoating, but that's just an opinion.