If you’re injured or ill but it’s not life or limb threatening and you decide to call an ambulance thinking it’ll be faster and you’ll be seen first… WRONG. Ambulance crews very frequently will advise the hospital staff that you “can wait”. Then we’ll plop you into a wheel chair and push you into the waiting room with everyone else.
In my jurisdiction this is false. (USA near DC). This realt depends on the hospital system. If you come in on an ambulance (with a legitimate illness or injury) you will get placed in a room by EMS and EMS will transfer your care to hospital staff (either a RN or MD) before leaving you. On the rare instance that I have moved a patient to the waiting room at thr request of hospital staff is with a patients that did not need present with any need to be seen.
I have never recommended that a patient can wait, that is outside of my scope of practice and is not advocating for my pt. The extent of my interaction with the hospital is laying out the facts of the pt conditions (vitals,  pertinent medical information, and history)