In this work, we investigate the temporal evolution of the jet-driven scour depth in a pothole lying on a cohesionless granular bed, by using diverse approaches. First, we present new experiments which encompass cases with jet angles ranging from 45 to 90° from the horizontal, several initial water depths, and different particle sizes, supplementing experiments developed recently by the last two authors. In particular, we address relatively-large angles, mostly absent in previous analyses. Our results first confirm the existence of two very different stages in the scour process, essentially overlooked in datasets used to obtain the traditional formulas-developing and developed phases; they then provide unprecedented evidence of the very distinct behavior at 90°, characterized by a step-wise behavior. Second, after revisiting the rationale of a theory our new, and other datasets. Finally, we provide interesting interpretations of the scour process by using the results of the theory.