I guess you need to buy the wireless version.
There are both wired and wireless controller for Xbox one and 360, you can buy them in sites like Amazon or a game shop, just make sure that the description says "wireless"
Though I use wired 360 controller, since it's cheaper and don't have to charge or replace battery every few weeks
The photos actually confirm it.
See this article from Microsoft. Specifically:
"On Bluetooth-supported controllers, the plastic surrounding the Xbox button is part of the face of the controller. On controllers without Bluetooth, the plastic is part of the top, where the bumpers are."
Here's model #1697 (one of the non-Bluetooth models) for reference: https://www.amazon.com/Xbox-One-Wireless-Controller-Without-Bluetooth/dp/B00YJJ0OQS/
(the Xbox One S controller is model #1708 and it's weird that Microsoft don't use these numbers to avoid confusion -- they're on a sticker in the battery compartment)
Second, if it was the original wireless model it wouldn't mention bluetooth anywhere on the box, but it does.
Always worth a shot. And on the bright side it's still as good a deal as an Xbox One Controller (if not better since they don't readily come with a USB dongle - besides the fact that the SC is more versatile with PC games)
(Edit: formatting hyperlinks correctly. Boy, am I embarassed)
This
https://www.amazon.com/Xbox-One-Wireless-Controller-Without-Bluetooth/dp/B00YJJ0OQS
How do I know you need this? It was in the old instructions on the Cronus site for using XIM with ZEN in their old guide. Only applies to Xbox. For PlayStation you just need a DS4
You need this….I forget the model number
https://www.amazon.com/Xbox-One-Wireless-Controller-Without-Bluetooth/dp/B00YJJ0OQS
Plug zen into console and then plug the XIM into the front left port on zen. Then connect the xim hub and mouse and keyboard as you normally would along with authentication controller.
No more disconnects.
How do I know this? It was in the old pre beta zen guide.