Been 30 odd years since I lived in Alberta last so can't remember. I live/work in Manitoba now, in remote First Nations, and my nightmare is something happening like the mass stabbings that happened in SK a couple years ago or a passenger aircraft hammering in, especially somewhere where there wasn't many trained people. Trying to have medevac aircraft diverted for something like that would really mess up the air transport scheme of things here - I'd actually seriously consider asking for rapid calls to be put in to have CAF support for a Herc with medevac crew(s) based off the regional MAJAID plan (should they still exist). We had two light plane crashes where I used to work in the space of a year - one minor, other involved casualties. The fatal one was outside of my sphere and was handled by CAF resources.
The other issue here is this in rural Alberta - you were talking about a large municipal EMS, which much like the folks here in Winnipeg, doesn't see past their urban boundaries (ie the tip of its nose). Edmonton is roughly 90-120minute drive - IIRC correctly, transfers I'd done in my much younger days by road from where we used to bivouac to Uof A hospital was roughly an hour and three-quarters depending on traffic. Other major/majorish centres are Lloydminister (and it's not that major TBH), Calgary and Red Deer, Lloyd being fairly close, though the hospital is technically on the Saskatchewan side of the city. An MCI response in those rural counties/municipalities would likely come in the way of a multi domain response and likely coordinated at a provincial level, which could also allow to possibly bring in CAF resources by way of provincial call for Aid to Civil Power and there is 1 Field Ambulance in Edmonton, as well the Reserve Fd Ambs in Edmonton and Calgary.