I'd be real surprised Greg.
Not saying PD in your areas would not. But is very uncommon in most areas for police to get involved in theft of services such as carpet cleaning or many other home type services.
Normally theft of services would be covered under stealing cable, bailing on a taxi ride, seeking in to a concert, movie, insurance fraud for treatment etc.
In a lot of cases such as carpet cleaning, odor removal payment is subject to completion of work. If PD arrested and charged a person for with holding payment and was later proved the payer had reason to with hold payment, such as a leaky roof on a roofing job, then PD might face a lawsuit. That is why most PDs will not get involved in civil matters such as carpet cleaning.