The concept of telling a lie to get the police to a crime scene more quickly keys on a basic yet false assumption that if officers of the law are tardy in responding to a summons for aid, their seeming non-response is prompted by sloth. Police have to prioritize calls for assistance based on the comparative severity of presenting events and/or the potential for further harm to those involved. Under such a formula, investigating a stolen car report will never be on par with breaking up a domestic disturbance, because the vehicle will remain just as stolen even if the investigation does not begin for another two hours, whereas the screaming and shoving match may turn into an assault with a deadly weapon if not broken up immediately. Likewise, putting officers on the still-hot trail of a rapist or drunk driver makes more sense than does sending those same officers to look into a "strange noises in my shed" situation — the one may get a danger to society off the streets before he harms anyone else, while the other might only net a miscreant making off with a garden hoe.
This tale might be a great story for telling, but not for taking as advice. Not unless one has a hankering to spend a night in the hoosegow, keeping the bedbugs company.