The question wether geometrical formulations of gravity based on general connections, as introduced some time ago by Otsuki, can be interpreted as particular cases of iso-relativistic structures is analized. We show that, in sharp contrast with the Finsler theory or theories based on the generalization of the metric as a way of going beyond GR, that admit immediate iso-gravitational interpretation, for the Otsuki's theory it is not the case. The iso-gravitational Santilli's formulation clearly admits an Otsuki's type formulation with general connection, but the converse is not true in general.