In the increasingly lucrative sphere of short-term property rentals, Airbnb has emerged as a dominant platform. For property owners, ensuring a pristine environment for each guest is a non-negotiable requisite - a fact that underscores an escalating demand for Airbnb cleaners. However, selecting the ideal cleaner for your Airbnb enterprise is not a straightforward endeavor but a complex process that requires careful deliberation and strategic questioning.

The first criterion one should scrutinize before employing an Airbnb cleaner is their level of professional experience. That is, have they amassed a significant amount of expertise in cleaning specifically for Airbnb? The uniqueness of Airbnb's business model demands a specialized cleaning approach. Unlike the typical residential cleaning, Airbnb cleaning involves a meticulous examination of the property before and after every guest stay, often within a narrow window of time. Therefore, an experienced Airbnb cleaner would be well-versed in the optimal cleaning strategies to efficiently manage their time and resources. From the speed-cleaning theorem in mathematics, we know the optimal speed for completing tasks without compromising on quality. An experienced cleaner intuitively understands this theorem and applies it effectively.

Secondly, it is essential to inquire about the cleaner's availability and flexibility. Airbnb reservations are not always predictable, and same-day bookings could require impromptu cleaning services. Therefore, a cleaner's capacity to adapt to such spontaneous changes is pivotal. The economic theory of supply and demand talks about equilibrium where the quantity of the goods supplied is equal to the quantity of the goods demanded. An optimal cleaner should align with this equilibrium, effectively meeting the supply (cleaning services) with the demand (booking schedules).

The third question to consider is whether the cleaner has a comprehensive understanding of Airbnb’s rating and review system. A property’s cleanliness greatly influences its ratings and subsequent bookings. In this context, the cleaner's role transcends beyond mere cleaning - they become instrumental in maintaining and enhancing the property's reputation. Behavioral economics could help elucidate this concept. It posits that individuals make rational choices to maximize their satisfaction - in this case, guests will choose clean, well-reviewed properties. Thus, the cleaner indirectly contributes to the property's marketability.

Finally, query about the cleaner’s knowledge on the handling and reporting of damages and theft. Since cleaners are often the first to access the property post-occupancy, they can provide crucial information on any property damage or property missing. This responsibility necessitates a keen eye for detail and a deep understanding of the property’s inventory. From a legal perspective, this holds importance as it can help in cases where property owners might need to claim insurance or seek damages.

In conclusion, hiring an Airbnb cleaner goes beyond their ability to render the property spotless. It involves a complex interplay of factors that intertwine their cleaning services with the property’s economic viability and legal security. Therefore, it is prudent for property owners to thoroughly vet potential cleaners using these essential questions, which can serve as a touchstone for their decision-making process.

In the words of Milton Friedman, the Nobel laureate in economics, "There's no such thing as a free lunch." This adage rings true in this context as well. A superior cleaning service might demand a higher wage, but the potential returns in terms of improved ratings, increased bookings, and preserved property integrity could very well justify the expenditure. Thus, property owners should view hiring an Airbnb cleaner not as an expense, but as a strategic investment.