yes they are correct and video, i cant do at the moment but i can only describe.
When using these controllers with the S1 they do work perfectly fine when plugged into the device, and controller works fine when the xbox one x/s home button(screen) is open but when whenever i have a game open, example Battlefield 4 there is a big big delay in action, sometimes pressing a button wont even do anything at times thats like 99% of the time....
Meaning, games open, i press any button and the controller wont respond to it.....So basically the controller is unusable when in a game but when in the xbox home screen(button in middle, xbox logo) the controller has no issues, so no input lag just felt like a normal controller.