There are countries where people don't get fined for calling an ambulance due to personal financial damage. Even though misuse happens, it's minuscule compared to the benefit of general healthcare and not having to pay thousands of dollars for getting critical help.
I'm from the UK, so no I wouldn't have to pay (I don't think?) As far as I understand free ambulances are fairly unusual though. I can see either insurance companies not wanting to pay out in these situations, or govts charging in these situations.
