There could well be a system of “choose Caesarcare or some private arrangement.”
In the UK under their debacle NHS, you can go to Dr. Bombay (whom I wouldn’t take my dog to) OR if you have the cash, illegally get care with cash under the table (for which the Brits have an entire govt. division to find snitches to OUT the really good private physicians). That is the reality. The Canadian reality is only marginally different— thanks to the prior presence of US institutions willing to take Canadians coming over the border for procedures and treatment, when their facilities have run out of money on the Canadian socialist teat.