I would say that for most people I know well, their life is their work, at least in very large part. The ones who "work to live" are mostly doing non-creative task or service-type jobs. Anyone doing anything creative or impactful seems to identify as their job in a pretty significant way. It will be one of the first things they start talking about, other than maybe telling you their name.

There is some variation between age groups. The older people I know are very much wrapped up in their work. The younger ones not always so much.