Mystery shoppers are all around us — road-testing casino buffets, quality-checking car washes. But an elite bunch are tasked with the glamorous-yet-grueling job of sussing out the most luxurious hotels in the world. These hotel inspectors get paid to tour cheese cellars, lounge by infinity pools, and assess the fluffiness of down comforters in cities across the globe. Even in an age in which every influencer can advise on where to stay in...