Yes; on DH1, not only were there no-police areas, there was pretty much the entirety of the Rim, where random violence was pretty much a thing that happened. It was easy for people to take out their violent urges without constantly fighting in the middle of cop central. With the exception of the Gendaryll restaurant, which snipers seemed to camp in just because it was a high-traffic place that you could snipe, and every +event that didn't have violence built in (and several that did), criminal disruption didn't happen too often on lawful worlds.
Hopefully it will also mean the law enforcement will step up actual punishments for doing it on law-heavy worlds.