Not only province, but doctor/hospital but mostly urgency.
If you’ve got something critical, it’s super fast, otherwise it can be pretty slow.
Examples:
went to the emergency for something stuck in my eye, 3am. Went in, waited 3 minutes to be checked, saw a doctor 15 minutes later, by the 1h mark I was out with 1 nurse and 1 doctor who had seen me and removed what I had and another nurse who had given me a vaccine shot.
On my way out, I talked to someone in the waiting room I had seen at 8PM getting a softball to the side of the eye, she finally saw someone around 11h after getting to the E.R. (they quickly evaluate the urgency when you arrive).
Almost 4 years later, I’m still waiting for my vasectomy appointment.