Edit: you added the correlation bit after I replied, but why do you believe that to be the case? If you have more police in an area, of course they’ll hear more gunshots there. That doesn’t necessarily mean there actually are more gunshots.
What you’re actually saying is “poor people need more policing”, which is A) offensive and B) counterproductive.
So let me get your point straight: your worry is that since wealthy areas have less sensors gun-crime in those areas will go under reported?
Idk about your neck of the woods but where i live if I hear a gunshot I call the police with a high probability. If i see someone brandishing weapons i do the same. And of course i call the police/emergency services if i see someone with a gunshot wound. These all create the statistical evidence independent of the sensor systems.
Let's imagine a city divided in two halves of equal population. West City is poor and has a high crime rate, East City is rich and has a low crime rate. Should police resources be allocated equally to both? How about public health facilities or welfare payments?
When people put bars on their windows on the ground floor, it is not the police causing them to be willing to spend the money on that.
Crime can also cause poverty. For example, if the family breadwinner goes to jail, the family slips into poverty.
As best we can tell, “stand your ground” laws in states like Florida result in hundreds of deaths each year. How many of those would be considered murder in other states?
Police killed over 1,300 people last year. How many of those people truly posed an immediate danger to others, and how many were murdered by a trigger-happy cop who was not held accountable by his colleagues?
Crime, even serious crime like murder, is socially constructed. It’s not objective; society decides what’s illegal and who gets to do it anyway.
Police have been ignoring small property crime as a waste of their time for far longer than anyone has called for defunding them. I couldn't get small town police to do anything about my stolen bike that was tagged and visibly sitting outside the house of the guy who took it. Wasn't worth taking anyone off speed-trap duty.
The ultimate reason is that if you are poor, the proceeds of crime (theft, burglary, robbery etc) are comparatively more meaningful than to somebody who is wealthy, while the cost of getting caught is comparatively less. A rich professional does not steal loaves of bread to feed their family, because they don't need to and they risk losing their entire livelihood if they do. If you're poor, unemployed and your kids are hungry, the risk/reward calculus is very different.
There’s not actually a well known link between poverty and crime in the way you imply. We’ve just decided that we only care about some people committing some crime some of the time.