I don't believe so. I think the flaw is in the per capita portion. I have seen the national statistics and I see what is going on in the world and in my community. I don't care that there are more people in my city, I care that we have averaged 6 murders and over 1000 burglaries in the past 5 years when these things were extremely rare 25 years ago. The police chief will say "yes but the population has tripled in that time". I don't care about that, I care that my city has gotten more violent while the media is telling me it is getting safer.
Your city has only gotten more violent if the per capita rate has increased. If you pin your notions to a non per capita statistic, then it is rendered meaningless, since you would be committing to saying that a world with a population of 1,000 and 500 murders is a safer world than a world with a population of 7 billion and 501 murders. And, well, that is just absurd. But, your only option in refuting that assertion is to embrace per capita statistics.