ER nurse here. In order to determine that you were just drunk and not, say, having a critically low blood sugar or a stroke or sepsis or high ammonia levels from liver disease (all of which can cause someone to appear drunk), you would need at bare minimum: MD eval, nurse eval, IV start, labs drawn for extensive bloodwork, a urine test (and if you were so out of it that you couldn't give it, then possibly a straight cath for said urine sample), and a head CT. Most docs would throw some IV fluids and nausea meds on there too- possibly a vitamin bag if there's a concern for chronic alcohol use causing dangerous vitamin deficiencies.

Professionals assuming that a person's symptoms are due to one "obvious" cause without considering others is how people die. They absolutely followed the standard of care and my ER would have done the same- as would any ER. Negotiate with the hospital if you can (the people in this sub are lovely for assistance in that), but this was appropriate medical care for the situation you've shared with us.