I've been thinking about this much of the day and the logical extension of this policy would be just to have a web site where people could file reports of their burglaries, assaults, rapes whatever, whenever the criminal elects to leave the scene. This could be available in several languages and be automatically filed with the other unsolved crimes.
This would permit the police to spend more time on traffic duty, which is the only place they catch criminals anyway. All of that CSI & DNA is nonsense. Think of it
Warren Jeffs arrested in routine traffic stop
Timothy McVeigh Oklahoma City bomber-caught because of driving without license plates
Ted Bundy caught because police noticed his VW was lacking a front passenger seat and there was a rape/murder kit sitting in the back seat.
If criminals only took cabs they'd never be caught, but the rest of us would spend a lot in tickets.