If the CEO of my company got shitcanned and then he/she and the board were feuding?
... I'd talk to my colleagues and friends privately, and not go anywhere near the dumpster fire publicly. If I felt strongly, hell, turn in my resignation. But 100% "no comment" in public.
Work is work. If you start being emotional about it, it's a bad, not good, thing.
You just need to temper that before you start swearing oaths of fealty on twitter; because that's giving real Jim Jones vibes which isn't a good thing.