It does, but it's a little disingenuous, too. You say things like "The ambulance dispatcher knows our location" - you mean, the location of all the facilities you service" (which isn't a stretch, most EMTs could probably recite the street address of every nursing home in their service area in their sleep).

A dedicated line gets you "Oh, this is Call9".

They still need to get pt demographics. ALS/BLS. The dispatcher still needs to find you an available ambulance. Dispatch it. Get the crews out and on the road.

Yes, the infographic breaks up a lot of that information, but the call receiving time is in many locations mandated to be within 60 seconds of reception to unit toned. And your service doesn't cut that to zero by virtue of "we have a dedicated line to an ambulance service".

And if they don't have that? Because that WILL happen. "Ambulance Co B, respond in place of Ambulance Co A, no units available".

"Call 911." And you've burned that time because you need to go back to the start.