So you said they're using your WiFi network to connect back to their servers. I'm not sure of your technical background but can you sniff it? If you don't, PM me and I'll send you some instructions. Maybe do a "reboot" on the box and sniff?
I'm very interested in their protocol and they're encryption. (Suspecting SOAP over HTTPS).
Hmmm - Sparky - if you do this make sure you remove any of your personal information (if it is there).
syntaxerror, nothing against you. Just good practice.