As the Sony rep said, there's no way to do this with "officially supported" techniques.
The reason for this is that the camera acts as a WiFi Access Point (AP) - so while multiple devices can connect to it, most mobile devices can only connect to it and not anything else (since iOS and Android don't support connection to multiple APs simultaneously). This is also why you can't use other network interfaces when connected to the camera. (I don't know about iOS, but Android always prioritizes WiFi over cell network data, for example.)
Android devices have a feature called "WiFi Direct" that provides more flexibility in terms of peer-to-peer interconnection, but iOS does not support WFD. The QX100 DOES respond to WFD invites, and you can accept a pairing request with (if I remember correctly) a long-press of the shutter button. However, the official app only supports normal WiFi AP connections.
I have not yet attempted to see if using Sony's remote API in combination with the (unsupported but apparently present) WiFi Direct capability works.
More info on Wifi Direct and Android can be found at http://developer.android.com/guide/topics/connectivity/wifip2p.html