Here in the US, I see wait times for medical care comparable from what I hear from my Canadian friends. I don't think we our system can really tout that as an advantage over theirs.
MRI a few years ago had a month and a half wait (not urgent but recommended).
Pediatrician? At least 3 months and thats IF they take new patients.
Allergist, 6 month waiting list.
My last PCP I had to book out 2 months in advance (the practice I wanted to go to was booked 6 months out).
We are also suburbs of a big city.
When I had a serious accident involving multiple broken bones and the need for orthopedic surgery, I had to wait two weeks to get an MRI, although I did get a basic X-ray in the emergency room. Then another month (while being unable to move much, let alone work, and being in a great deal of pain) to get the surgery. That was me getting expedited scheduling. It also cost me a fortune out of pocket.