There is no such thing as damage “to society,” only damage to multiple individuals’ property. Who else was damaged by a thief stealing gum? No one besides the owner of the gum.
Let us say 1 in 10000 gum thieves are caught, and gum costs $1. The police catch a gum thief… why does the owner of the business then get $10000 for slightly more than $1 in damages?
There is no reason to take into account the incompetency of the police to catch criminals, but only how much damage was caused by that thief.