It takes more than "one small slip up".
It is my experience that local law enforcement put very little effort into solving property crime. The effort rises dramatically if the victim is a cop (or is related to one), a politician gets involved or the media reports on the crime.
As one example, after my father died, people were using his credit cards and checkbook to steal money (until the Master Death File sent his details to banks). The police said that this crime was so common that they did not investigate (nor refer anything to the district attorney) when the theft is below $250k. A casual mention that dad was a volunteer cop, and had been for 9 years lit a fire under the police and they had investigated and arrested the perps within 2 weeks.
One of the perps worked at his doctor's office and had access to his records (including payment details). She had plead to a lesser charge and when her parole officer visited her office and checked the office computer records, it turns out that he wasn't the only victim of this sort of thing (emptying dead people's bank accounts). Additionally, she was using the doctor's office computer to issue narcotics prescriptions that she also sold.