I have location services turned off on my phone.
One day, I was waiting to pick up someone at the bus station and a crazy driver came roaring through the parking lot, jumped the curb and took out a stop sign, then backed up to free it from his car and careened off.
I got on the phone with 911.
I got put on hold, and while waiting on speaker I took a picture of the stop sign from the crash. later the call ended.
The next day I noticed that the photo I took had an embedded location.
location services was globally enabled on the phone during the call.
I wouldn't be surprised if all apps on your phone during 911 get your precise location.