I just want to inject a little something here, and I have said this on other boards. Believe whatever you want, but trust me on this. PD does NOT hold things up from FD. If they do, the 911 operator, or radio dispatcher gets hung. I have had a few incidents where I have called PD, asking for a WTF, and they have said the radio dispatcher failed to notify FD, and will be disciplined. I have also gotten into arguments with them when they tell me certain situations do not require the response of FD. My response to them is usually, Like Hell it isn't.
It all depends on how it is coded in the 911 system. If a particular code is put in by 911, there is no response from the FDNY. This includes auto accidents. This is why you're sitting in the firehouse and ESU comes zipping by with the lights and sirens on, and then you get the ticket 5 minutes later. Usually comes in as an auto accident with property damage, and then it gets upgraded to a reported pin, or upgraded to an auto accident with injuries.
I live not too far from where this accident occurred, and it really is a toss up. ESU Truck 4 is a few blocks away, as is 46 Truck, depending on where the accident is. Not defending or condemning here. Just calling it like it is. And, unfortunately, it's not going to change anytime soon. But, one only has to watch that video of the car vs. motorcycle wreck in East New York a few months back to show who should be doing extrication in NYC.