[IanCal]

I think perhaps you're being somewhat broad by defining work as doing anything for anyone else. Or maybe I'm being overly narrow by assuming they mean "have a job" by "work", something paid and typically contractual.

Would you class volunteering your time as work? How about developing open source software, or writing interesting short stories for fun? Painting? Being a parent? If you help a friend move house do you say you're "going to work"?

If you include everything that provides some value as "work" then sure. But I feel that there are a huge range of things that provide value to society that may not be paid for or done as a typical job.