Incidence of assuming an exoplanet to be uniformly bright and its orbit to be circularized. a) Marginal posterior probability distribution (PPD, 68%- and 95%-confidence intervals) of and that shows an unusual correlation. b) Marginal PPD (95%-confidence intervals) of ρ_⋆ and b that highlights the increase of adequate solutions enabled by the additional dimensions of the parameter space probed when relaxing the circularized orbit assumption. c) Deviations in occultation ingress/egress from the median-fit model for the individual perturbations of b, , and ρ_⋆ by their estimated uncertainty (see Table 2, Col. 2). It outlines that the system parameters enable compensation of an anomalous occultation that emerges from, e.g., a non-uniformly-bright exoplanet (see Fig. 3) leading to biased estimates of the system parameters.