Well it depends what specific job in HealthCare.
PM me if you do not want to post specifics.
If doctor/resident role then suit up fully.
If Nurse, then business casual.
If Management, tie is fine.
Most people in healthcare dont give a F&*! about how they dress. I personally do but I don't necessarily hold it against others, but it might be a tiebreaker in my mind as you pointed out "put togetherness".
If someone shows up with white socks, black...