I think the cost could well be close. Here, if you call 911 for a medical emergency you will get a police patrol car, an ambulance, and a fire truck dispatched in most cases. That's at least three vehicles and at least half a dozen people.

If this is happening once a week then it really seems there ought to be a better way to handle it.

Edit: if you also assume that an ambulance dispatch is usually followed by an ER trip, the cost balloons even more. Seems really hard to think that a 911 dispatch followed by an ER trip once a week is the best way to handle a chronically ill person at home.