The problem with your theory is that those crimes are down. Murder and manslaughter (homicide) is up. Aggravated assault is up.
Rape and Robbery are down. Property crime is down except for motor vehicle theft.
(This is according to the FBI numbers that came out last month. There are probably subtleties in the details.)
For the first time in four years, the estimated number of violent crimes in the nation increased when compared with the previous year’s statistics.
www.fbi.gov
" The 2020 statistics show the estimated rate of violent crime was 387.8 offenses per 100,000 inhabitants, and the estimated rate of property crime was 1,958.2 offenses per 100,000 inhabitants. The violent crime rate rose 5.2 percent when compared with the 2019 rate; the property crime rate declined 8.1 percent.
Quick refresher that for this report:
violent crimes = murder and nonnegligent manslaughter, rape, robbery, and aggravated assault.
property crimes = burglary, larceny-theft, motor vehicle theft