We spend the majority of our time, effort, and thought around our work. To say that none of this should touch on our identity would be doing a disservice to the majority of our time spent living.
It is true, that some people are not “enmeshed”, but are consumed with work, but what about the people that do find happiness and fulfillment in their “high-powered” job? Dan’s failure to recognize his own needs are not a reflection of “enmeshment” being bad, but a reminder that if you do not pay attention to your own wants and desires you will be unhappy, regardless of how successful you are. That if you do need the job and hate it, to make sure you’re making the right trade-offs to have a happy life - see the recommendations in the article for how.