Canada is a strange place.
It is a massive country with a handful of pockets of population that approximate European densities. Curiously most lost people get lost close to where there are people: Algonquin Park, the North Shore of Lake Huron, Georgia Straits, off of Cap Chat. In those places there are also lots of ways to rescue the poor drunken blighter that got himself lost on the backside of Cypress Mountain.
Perhaps the RCAF isn't the best response, the necessary response, the only response in those areas and a Euro-style civvy solution is appropriate. (Or dare I say even a Reserve solution - given that many of the SAR units seem to be manned by part-time civilian volunteers).
On the other hand there are whole chunks of Canada and its claimed water where there is nobody home at all and where even the prospect of being found and rescued in 72 hours would seem like a blessing compared to the alternative.
It seems to me that the domestic role of the CF, as I have said elsewhere, is to guard the spaces between the places. The civvies are managing the places (the settlements) quite well. The role of the CF, and principally the RCAF, is to bring the Government to those places the civvies ARE NOT (yet). And once the Government arrives it can elect to help (SAR or Disaster Relief) or not (the other stuff that the military does).
If Southern Ontario and the Georgia Strait don't need Buffs, Hercs and Cormorants I am guessing that the Gulf of Alaska, Nunavut and the Atlantic fishing grounds wouldn't say no to more resources. ???