That's patently not true. Acne is a medical problem faced by a substantial portion of the population at one time or another. In all but the rarest of cases it is not life threatening.
"There is good evidence to support the idea that acne and associated scarring negatively affect a person's psychological state, worsen mood, lower self-esteem, and are associated with a higher risk of anxiety disorders, depression, and suicidal thoughts."[1]
While Acne probably won't kill you, it certainly won't make you happier and could contribute to suicide if left untreated. We are lucky that acne meds are cheap, but there is nothing stopping those companies from shooting up their prices tomorrow.
In that case depression is the life-threatening ailment, not the acne. Just like pneumonia is the reason you go to the ER, not a common cold on the off-chance it might later become pneumonia.
Also by the way, the requirement to provide care to any walk-in patient only applies to ER's, and only until they have stabilized the patient.