The averaging-out of off-diagonal disorder effects in long-range, incoherent electronic energy transfer (EET) results in marginal dimensionalities for which, and beyond which, short-time transport ceases to be dispersive. For EET induced by multipolar interactions of the orders, the marginal dimensionalities ared*D=s– 2 andd*D=sfor the mean-square displacement and for the initial site survival probability, respectively, manifesting the interrogation of distinct aspects of spatial fluctuations.