http://kotaku.com/xbox-one-requires-kinect-to-function-509112572
Before the big series of 180s, kinect was in fact required to be attached for the console to function. "Kinect does require to be connected to Xbox One in all cases, yes,"
Mandatory internet check-ins where a console has an opportunity to send home whatever info it wants has more privacy concerns compared to an offline capable console. That's not "absolutely nothing".
Good thing MS 180'd most of those insane policies, but apparently the fact that they existed is being memory holed already. So yes, I maintain that pre-180 Xbox One had far more privacy implications than PS4 ever did.