Forgetting about capped users and anyone on 3G?
You can buy a PS4, open it, set it up, install and play every single retail launch game from the first menu to the credits, earning achievements along the way, whilst never once needing to connect to the internet.
On the other hand with the Xbox One, you can't do anything with it if you don't have a internet connection. You can't even download the updates from another location and put them on a USB drive because Microsoft has removed the emergency support update from its help page. Its essentially a very large, shiny paperweight.