The only reason false positives would be an issue is if you had some better method of identifying where resources ought to be allocated, and instead you were going after these false leads. If the cops had a better system they were being prevented from using, I doubt they'd be arguing to to keep this one in place, and the critics would probably mention it.
I'm not saying this system is worth whatever it costs, indeed the value prop of detecting gunshots seems rather low to me, but the particular argument made in this article is poor.
A 911 call plus a matching shotspotter report has a pretty strong value. Much greater than the sum of the parts alone.
I had police at my door in under 2 mins from calling 911 because a shotspotter report had dispatch and the local officers already 'aware' and 'on-lookout' for a possible source minutes before I had assessed/secured things and called.
They were already nearby, had slightly diverted to circling the neighborhood & checking things out, and just needed a final street address plus confirmation of a need to escalate the response.
In other words... it worked perfectly.
But for reasons... my call ultimately ended up a 'false-positive' in the system, despite the system having worked correctly, both technically and systematically: the shots heard/detected were actually fired and it was a situation where police were ultimately called/summoned and arrived quicker than otherwise would have been possible without the headstart.
So beyond the assessing the 'value' of these systems, you also have to assess what exactly is getting measured, and what the precise meanings of false-positive and false-negatives might be in various use-cases.
But if 70-90% of the time the tech is sending police on goose chases that end with no findings, it seems like "force multiplier" falls into one of those marketing buckets where the truth is the exact opposite. The tech actually divides police from the mission.
Many, many cities are siphoning off public taxpayer dollars and sending them to this company.