Re: the "Reality Check"
You can. . . .but HR generally requires process and paperwork. Especially in a lawsuit-happy environment like California.
Consider the timeline: She posts to Medium.com, and yet "4 hours later" she gets notice that she's fired (5:43 PM, to be exact)..
Either they're ALREADY monitoring her social media (suggesting there was already an issue) or, somehow, in under 4 hours, it got so viral so fast that management saw it, directed a firing, and HR did their entire process. . .
I would suspect it was the former, not the latter. . .