Law and order situation of Lahore

Re: Law and order situation of Lahore

I can understand the police not wanting to register an FIR in order to manipulate stats. But why would anyone want to insist on getting an FIR registered, that too after paying bribes? What exactly does that accomplish? Is the registration of an FIR a guarantee that the stolen goods would be returned, and culprits caught?
Specially in Punjab and Sindh, where the police forces have been so politicized, and rendered useless, why would anyone bother to register a complaint with them?