I’m always careful not to mention the last company I worked for, in my posting (it’s one that I’m proud to have worked for). It’s not a secret, but I don’t want to give them any cause for concern.
It’s long past the time where I would be in any legal jeopardy for doing so, but I do it from respect.
That company had pretty strict HR policies, and one of them, was that a manager could never mention any disciplinary outcomes to employees. That was a privilege reserved only to HR. A manager could only mention that a matter may be referred to HR.