This is definitely true, and that report works to control for it. The reason there's no homicide data listed on that report is because it's based on the National Crime Victimization Survey. It surveys people on their victimization instead of relying on police reports. Police reports would make the differences appear even larger.
Although on this topic I'd also add that urban areas have a similar issue. Criminals know that the overwhelming majority of crime goes unpunished, while people have a reality deluded by shows like CSI. Homicides, for instance, have the highest clearance rate, by far. And it's 47.5%. [1] Vehicular theft has the worst at 6.6%. If you end up with your window busted out and everything that's not strapped down stolen, there's no real point reporting it to the police unless necessary for an insurance claim because you're never getting that stuff back, and the thief is never getting caught.
Although on this topic I'd also add that urban areas have a similar issue. Criminals know that the overwhelming majority of crime goes unpunished, while people have a reality deluded by shows like CSI. Homicides, for instance, have the highest clearance rate, by far. And it's 47.5%. [1] Vehicular theft has the worst at 6.6%. If you end up with your window busted out and everything that's not strapped down stolen, there's no real point reporting it to the police unless necessary for an insurance claim because you're never getting that stuff back, and the thief is never getting caught.
[1] - https://en.wikipedia.org/wiki/Clearance_rate#In_the_United_S...