You have an interesting point, but how an acoustic sensor any different than someone making a shots-fired call to 911? Police are going to arrive on-scene with the same assumptions.
But the real consequences are very different despite that! The automation allows it to be used more freely at low cost, to go "fishing" for crimes rather than investigate a specific instance. And a wider net will catch more false positives, and with the shotspotter having cops show up guns blazing to teenagers with fireworks for example is a heavy consequence.
Since these choices affect peoples' lives in real ways, we're obligated to consider the actual effects, rather than the philosophical foundation. It may not be "any different" in an abstract sense, but this concrete instance is very different and we have to consider that in its use.
In fact, it would seem that not only are they immune to it, but respond paradoxically, in contrast to - well, everyone else, from college kids to IT staff to doctors to other public safety people.
This leads me to believe that The Real Problem are the people with guns who use them to shoot other people, not automatic alarms.
https://www.sti-emea.com/false-fire-alarm-fatigue-an-interna...
https://www.firesafetysearch.com/alarm-fatigue-in-student-ac...
https://scopeblog.stanford.edu/2016/07/18/reducing-alarm-fat...
https://www.firerescue1.com/firefighter-training/articles/is...
https://www.firehouse.com/safety-health/article/10503935/nea...
(Also, irresponsible use of fireworks is bad)
https://globalnews.ca/news/8046556/couple-charged-gender-rev...