We investigate signatures of anisotropy on the dynamics of time-resolved near-threshold molecular photoemission through simulations on a one-dimensional asymmetric model molecule. More precisely, we study the relationship between the fundamental Wigner delays that fully characterizes the dynamics of one-photon ionization and the delays inferred from two-color interferometric RABBIT measurements. Our results highlight two different properties pertaining to each of these delays. The first one is related to the inherent necessity to set an arbitrary electron position origin to define and compute the Wigner delay. The second one is the dependency of the RABBIT delay on the frequency of the probe laser. Our results show that the angular variations of both delays converge for a specific choice of the position origin and in the limit of a vanishing infrared probe frequency.