I think the important detail is it's OK for it to form part of your identity, but it's also ok for it to not be. If you spend a large part of your waking hours

I think the important detail is it's OK for it to form part of your identity, but it's also ok for it to not be. If you spend a large part of your waking hours working on something enjoyable, absolutely embrace that. Conversely, if your work is drudgerous but you enjoy the simple things in life - like food and shelter - and it provides that then maybe some separation of identity is a good option too.