The compound-choking criterion has recently demonstrated to better explain the phenomenology of a double-choked ejector than the common Fabri-choking. In the present work, one pro- poses to discuss results obtained using the compound-choking criterion, firstly through the use of a wall-resolved RANS model, and secondly via a thermodynamic model. It is concluded that the compound-choking is a better criterion to assess the operating regime of an ejector, as it is more representative of the actual choking physics.