Working to keep a roof over the head of yourself and those you love is an identity. It's social proof that you have value, that you can do something for someone else.
Working to keep a roof over the head of yourself and those you love is a necessity. It can become an identity if you enjoy what you do, sure, but that is not a given for, I'd say, a big majority of the workforce, globally.
You have value just by virtue of being a living being. No one needs work to have or portray value, that's just capitalist propaganda.
My own identity certainly isn't "IT manager," nor do I derive life meaning or self actualization from what do to collect a salary to feed myself and have shelter. In fact, my career/job is by far the least important thing in my life, I have it purely out of necessity.
I was funemployed for a 9 month stretch last year (layoff severance package, followed by waiting for a visa and traveling), and when I wasn't traveling, I found my life kind of falling apart with a lack of structure. I tried to schedule workout classes and hobbies, as well as involvement in my church, but it just didn't fill my time, and none of my friends were free during the day. I spent a lot of time with my retired parents, but the time we spent together became very low quality, and it was tinged with the knowledge that I ought to be doing something else with a lot of my time. I also spent a lot of time scrolling.
I started work again 3 weeks ago, and I find myself using the time outside of work much better because there is less of it.
I would still love a 30 hour work week, and if I had young children, I am certain that I would cherish time off much more.