You'll still want an Ethernet connection with the conductor to change show times/ start stop on the fly if needed.
I thought that could be done wirelessly, even possibly using a smart phone.
Connectivity for the etherdongle/conductor happens over ethernet, there is no internal wireless. You can make it wireless using external devices like Ron said but it still needs its ethernet port plugged into something for control of the conductor (if needed)
For example I was going to have a second router in my garage bridged off my main wireless in my house that the etherdongle could plug into and my show computer would talk to it over that bridged wireless connection. Until I got the motivation to run a drop out to my garage
Having said that if you do have the conductor and how I understand how it works. If you don't need the control of it (meaning you are happy with the show setup and don't need to modify/start/stop) then correct it won't need the ethernet plugged in because the conductor will send everything out the pixelnet port and your computer won't be sending data to the etherdongle.