I've got the Supcase as well (I have the white phone and got the grey/clear case). So far, I like it a lot. Wireless charging works through it, just barely; it's almost too thick, so you have to be careful how you position your phone to avoid the "slow charge" warning.
The only issue I have with it is the weight; it's heavy enough that my Infinniapps magnetic car mount doesn't work with it. I could have moved the magnet to between the case and phone and it probably would have been fine, but then the plate would have blocked NFC or Qi. I just went and bought a different mount unit instead with clamps instead of magnets (this one
) - the reason I went with magnets was because of the clamps hitting the buttons on the sides, and since the G3 doesn't have those it should be fine.