There is good news and bad news. Good news is that the Nvidia Shield recognizes the wireless USB dongle. I can move the mouse point around on the big screen TV.
Again, the LG Google Nexus 5 shows charging, but its battery is actually being depleted. I'm not sure if the magnet strap on the flip-case has anything to do ...
But it doesn't habve Qi wireless charging built-in like the Nexus 5. So I got a USB-C Qi wireless charging receiver for the Pure XR. It seems to work... but ...