Sure, and I wouldn't put it past it happening every now and then, but of course I'd like to imagine in situations like that the great majority would be more interested in getting the info. The real issues there are, of course, getting an ambulance at all - there's been a lot of ambos getting sick of the job and leaving.
I've been thinking lately, perhaps too much myself, about the issue of "professionalism" within the workplace and how it tends towards a lack of genuine honesty in place of starchy ultra-politeness - a sort of corporate correctness. I haven't quite gotten those thoughts in order yet, but at the moment I'm thinking that the urge many middle-class corporate types feel for a sanitised language that doesn't address real emotions but tries to cover them with a restrictive gloss is becoming more regular for even workplaces that don't normally use such language. I'm sure there's been other people thinking and writing about this.