Xbox One does need internet!!
Hmm do I need to worry about this? Nope. The newest gaming system I own is a PS2. Other then that I have my computer. But if I was planning on buying a new gaming system I wouldn't buy a system that requires the internet for me to play.
I don't play two games I bought digitally after running into the always on crap. Diablo 3 which in previews I thought would rock but that just turned in into a World Of Warcraft for single player. Medal Of Honor (2010) Would have been better if they would have let us have our own servers but they had to go the way of COD:MW. Now they decided to kill the MOH franchise cause they didn't think it was doing good anymore.
Stupid decisions in programing and running a company can cost you customers.