I wouldn't complain with that. I was told at my surgery I had to wait 3 and half weeks. I had to make a complaint through PALS, and magically an appointment came up in 5 days.
While on the whole I agree with you, you can't bracket 'fast moving emergency vehicles' into this. They need the quickest route, going as fast as is reasonably practicle, and sirens to tell people to get out of the way. Hence the word 'emergency'!