While your point about small-scale violence and theft of physical goods is well taken, the ultra rich have the opportunity to steal and commit violence on a scale undreamt of by the poor -- and these crimes are rarely the subjects of police statistics.
As the old saying goes, the best way to rob a bank is to own one. The elite and ultra-rich commit theft and fraud on a scale that would bankrupt entire countries, and start wars with hundreds of thousands if not millions of casualties.
They get laws written in their favor, buy off politicians and judges, hide their gains in off-shore tax havens, and hire armies of high-paid lawyers to protect them -- with the effect that few of them suffer any consequences (rarely anything like the SWAT-style raids and hard jail time routinely inflicted upon the poor for far smaller offenses).