I'm trying to think about being fired "for cause" versus being retained while having issues. I probably draw on my work experience too much as that was a different thing obviously. We would not be fired for a DUI for example, or even have to report it. We WOULD get fired if we used the corporate AMEX at a strip club.
We had no reporting requirements about DV incidents unrelated to work. I don't even think we had to report arrests for whatever, I don't know that as it never came up that I knew about.
So, working at a public university is quite different. My personal analogy is likely not relevant.