Apparatus, and an associated method, by which to permit selection by a user of a mobile node of with which cellular communication system network that the mobile node shall communicate by way of an interworking wireless local area network. User selection is provided even when the interworking wireless local area network is directly connected to the home network of the mobile node. A determiner determines whether the interworking wireless local area network is directly connected to the home network. And, responsive to the determinations, an identifier identifies the cellular communication system network associated with the interworking wireless local area network.