Here in 'Murrica, they send something like in the second photo when grandma falls in the bathroom.
Yes, I'm exaggerating, but not by much. The truck in the first photo is smaller than the trucks my city fire department has. There's a retirement community not far from where I live, and they send a ladder truck for medical emergencies there several times a week. I'm not really sure what use 4,000 liters of water would be when somebody is having a stroke.
Watch the Not Just Bikes video, if you have the time and interest. The short answer is: yes. The trucks are enormous because they carry all the equipment for any sort of emergency, so they send the big trucks to every call. Not every fire station has an ambulance unit, so the trucks can get to many locations more quickly.
It's ridiculous.