My work is only part of my identity.
I'd argue that unless you're literally curing cancer, it should be the least important part of your identity.
I've never let work be more than the tiniest facet of my existence that provides the resources necessary to well... not die.
I understand this isn't the easiest thing for most people - tribalism and pack identity is a powerful thing.
It's why we have entires throngs of people who follow celebrities / twitch streamers / influencers / voice actors / etc. It's why things like the "reality distortion field" around Steve Jobs exists. And well, it's why when people suddenly find themselves let go from a job, it apparently affects them in a powerfully and I would argue irrationally emotional way.
In a way, these things have sort of acted as a de-facto substitute for more traditional tribalism (patriotism, national pride, etc) for a lot of Gen Z / Millennials. Shrugs. Or maybe this is just a personal observation.
Note: Just to be fair, I think her breakdown was FAR FAR more understandable than many people who are let go given that:
Her job provided health insurance for her family
She has kids who depended on her
Needing surgery