A & E departments have a triage nurse who prioritises patients. If an alcohol abuser is severely injured and at risk of bleeding to death, he/she will take precedence over someone with a broken wrist. If, on the other hand, he or she is suffering from such symptoms as a raised pulse, dizziness, nausea, slurred speech, then the patient with the broken wrist will take precedence unless a heart attach or stroke is suspected.
Self-inflicted injury may be very annoying for the holier-than-thou brigade but drunks, smokers, druggies, bulimics, over-eaters, self-harmers, failed suicides, etc. all pay taxes and are all entitled to treatment. If they also break the law in some way, they may be prosecuted. The police service and NHS have different functions.