skullcandy has been good to me...far as I know there is no "true" universal wireless headset for both XB1/PS4 (maaaaybe one of the hire end astro or turtle beach joints @ $200+)...the gold headset you posted will work wireless via bluetooth on the PS4 but will have to be plugged into the XB1 controller which technically speaking is not wireless...and I'm speaking from personal experience/research...I have 2 relatively inexpensive skullcandy headsets that plug into the PS4 controller and my XB1 controller too...
Yeah I have those for my one, not bad for $60 and I have those Sony Playstation headset for the PS4 and those are pretty damn good for wireless headsets.