Sure, on the inpatient unit. But that makes up a small minority of your overall training. Doing some quick math in my head, I'd say that about 90% of my clinical exposure is in in a setitng where the majority of patients are underserved. The inpatient unit (along with the ER, consult service, etc.) is in the inner city, and the majority of the patients are low SES. The outpatient clinic primarily serves a Medicaid/uninsured population - a minority of the patients in the clinic have regular insurance, but we no longer accept new patients who have insurance. The only time we primarily see insured patients is in the eating disorders rotation (1 month), geriatrics (1 month - many of those patients are also underserved, but they have Medicare), ECT (1 month - also many underserved patients who have Medicare), and child clinic (1 afternoon a week during 3rd year). There are also 10 months of electives, so you could see higher SES patients (for instance, there's an option to work at the WashU undergrad clinic) if you want to.
We don't actively emphasize the underserved bend to the program, probably because the program prefers to emphasize the academic strengths. But there's no question in my mind that you see a substantial amount of severe psychopathology from all perspectives.