Do stereo Phantoms connect wirelessly to Dialog or Wifi Router or both?

[MountainGuy]

Curious.  I had thought that wirelessly, the Phantoms connect connect to the wireless router.   However, it turns out that they connect to the Dialog. Basically once set up, you can connect the Phantoms to the Dialog without any wireless router.  Of course, that way, you can't stream via the internet.  

Does that mean wirelessly, the Phantoms are not really connecting with  Wireless router but only the Dialog?   

Thanks!