Indeed, sending a police patrol will only catch the kind of crime that happens in socio-economically disadvantaged communities, which in turn contributes to skewing the data to suggest that more crimes there, which leads to more policing, which leads to more crime, and so on.
Meanwhile, wage theft, over twice the size of all other kinds of theft put together, keeps growing year after year.
Police patrols should be entirely reactive, and not proactive. Proactive policing does not work.
I challenge your assumption. To me it seems intuitive that crimes are committed at higher rates by the socioeconomically advantaged, because they can get away with it.
See for example that immigrants commit crimes at lower rates than the general population.
https://www.cato.org/blog/illegal-immigrants-crime-assessing...