Those statistics are probably "correct," but missing lots of context.
First of all, most police stops and arrests aren't for murder, but for various petty crimes (particularly drugs and traffic violations) that are certainly unevenly enforced, even controlling for other factors (see e.g. see e.g. https://scholarship.law.columbia.edu/cgi/viewcontent.cgi?art...), so citing murder statistics here to seems a little irrelevant, as they are such a small fraction of police stops. It is also probably not an effective means of catching murderers (instead turning communities against the police, perhaps contributing to the pathetic murder clearance rates achieved by police). As you probably know, many have argued that there is both overpolicing of petty crimes and underpolicing of violent crimes in minority communities ( see, e.g. https://www.vox.com/2015/4/14/8411733/black-community-polici...).
But, sticking to murder rates, these statistics also ignore a lot of dynamics. At least in urban areas (I don't have much familiarity with rural areas), most murders aren't individuals acting independently to commit murder. Instead, a large fraction of murders are gang-related (either directly, or collaterally), suggesting that to large extent, differential gang prevalence might be a dominant factor in the difference in murder rates.
Why are gangs prevalent today in some communities and not others? 100 years ago, gangs in places like Chicago were predominantly ethnic white (think Al Capone), though those gangs have largely declined and no longer play a larger role as far as I can tell. Nowadays, 90% of gang members appear to be Black or Hispanic (https://www.nationalgangcenter.gov/survey-analysis/demograph...). Gangs of course are not all the same (some are probably more violent than others), but maybe the right question to be asking is why are gangs so prevalent among urban minorities.
I don't have any special knowledge here, but I imagine that in many cases, differential policing may certainly be a direct or indirect contributor to high gang prevalence. . There of course other many other reasons (community disinvestment, inertia, the "war on drugs."), but differential policing has the potential to cause a positive feedback loop here (unfair treatment -> higher gang membership -> higher violent rates -> unfair treatment) that probably needs to be broken. Of course, historically, unfair treatment of Blacks well predates the formation of Black street gangs (according to https://www.sagepub.com/sites/default/files/upm-binaries/434..., Black street gangs didn't become prevalent in large urban areas until the 50's/60's).
It might be "natural" for police to treat communities with higher murder rates differently, but that does not mean that it's the smart or right thing to do.