Quantum Darwinism explains how tenets of classical reality, such as objectivity and repeatability, emerge within a quantum Universe. As a mathematical framework, quantum Darwinism also provides guiding principles that determine what physical models support emergent classical behavior, what specific observables obey classical laws, and much more. Recently, we demonstrated that in the regime where a quantum model exhibits quantum Darwinism, the Kirkwood-Dirac quasiprobability distributions for all disjoint multiparty measurement protocols become effectively classical. In the present work, we use this connection as a tool to study how the breaking of quantum Darwinism in a specific model translates to non-classical measurement statistics. Interestingly, this provides effective tools for benchmarking the genuine quantum characteristics of NISQ hardware, which we demonstrate with IonQ’s trapped-ion and IBM’s superconducting quantum computing platforms.