If you prosecute property crimes, you don't get a lot of property crimes, because prosecutions for that crime act as an effective deterrent and then the courts aren't overwhelmed with property crime cases even if the few cases they do get are full jury trials. You only get widespread property crime cases when you don't prosecute them.

By contrast, drug use has no theft victim to report the crime and then even harsh penalties don't act as a deterrent because detection rates are low and addiction is a stronger motivator than the spoils of petty theft. So you would stop prosecuting recreational drug use (compensating by increasing addiction treatment programs etc.), and thereby also eliminate all of the associated crimes as drug cartels murder over territory and drug users commit serious robberies to afford street drug prices that otherwise wouldn't cost more than a bottle of aspirin, avoiding the need to prosecute those either.

At which point crime goes down and you can spend more resources prosecuting the remaining cases.