For context, my city has a 20 minute average response time for priority #1 911 calls (violent crime in progress). Response time for priory #2 & #3 calls is around 6 hours ( non-violent crime in progress, in progress disputes, just completed felonies, and stolen cars).
There are 10,000 ShotSpotter events a year.
As much as I wish it weren't the case, I simply dont think looking for casings, getting statements, and or performing a search is likely to be the highest demand for police time.