The kings had right of veto within the council and control over the armies of the state , but you are correct in saying the ephors and gerusia had the power to depose under certain conditions . The division of power ensured mainly civil and domestic matters were dealt with by the council but that the kings could maintain substantial influence when nessasary. Though the ephors held the ability to depose a king it was strictly under circumstances outlined in the original Lycurgus laws which were based more in failures in tradition and custom than ability. In terms of where the leadership lay I would say the easiest way to think about it would be domestically the ephors and the gerusia managed Sparta while the kings represented the Sparta and her affairs with the rest of Greece politically .