By calling it a resignation, Google is making it sound as if it was an amicable choice she made, not their judgement call about her actions.
Words matter. Word choices always matter. Especailly single words which come with a lot of built-in context.
She did not get a chance to offer up her resignation, Google terminated their employment relationship before that opportunity arose.
And thus, it is completely reasonable to boil it down to:
Google fired Timnit Gebru.
Words matter. Google is lying when they claim that Timnit Gebru resigned. Google should absolutely be called out for this lie.
Additionally, in this world where barely anybody reads past a headline, that discussion does have _some_ merit, even if every other part of this issue is _more_ important...
It's mostly the side that supports Google management that is focussed on it as the primary issue; the side backing Gebru is more focussed on the triggering event itself, the unusual (for Google AI, and apparently for the field in general, as far as internal reviews go) review process applied to the paper on which Gebru was lead author and which she was told to retract, with the resigned/fired issue as an additional indicator of Google management being deceitful, but not the primary issue.
And yet there are a bazillion articles debating what verb best describes that pair of events. I get that there is legal relevance, and let the lawyers argue that one. But the rest of this seems to be a court of public opinion thing, in which case it should have no relevance given that everyone is agreed on the facts. Why do we care so much about the one-word linguistics of it? How about you just don't use a single verb alone, and instead spend the literally two sentences it takes to explain that part?