I know of one case of this actually happening in the UK.
The call went something like this:
Operator: Police Emergency
Caller: Hello, I’d like to order a curry please.
O: You’re through to the police
C: Could you deliver it to ‘gives address’
O: Madam, this is the police, not a delivery service
C: Could you deliver it as soon as possible?
O: (starting to realise something is wrong) “Madam, are you in a situation where you cannot talk freely?
O: Are you in danger?
O: Okay, I’m arranging help for you immediately.
C: Could you make it two Naan Breads? My husband is really hungry.
O: I’ll send two officers.
This transcript is purely based on memory from a police officer’s memoir. On the police response, a very angry man was arrested for domestic violence.
There was obviously the risk that the operator could have hung up on a ‘time-wasting’ caller, but once they realised something was wrong, they changed scripts immediately.