I’ve personally been playing LEGO Marvel Super Heroes without internet just to see how long it goes. I haven’t encountered any bugs or problems so far.
“IF YOU HAVE A DISK FOR A GAME, YOU DON’T ACTUALLY OWN IT. IT’S JUST A LICENSE.”; YOU CAN DISCONNECT YOUR CONSOLE FROM THE INTERNET, INSERT A DISK, WATCH IT DOWNLOAD, AND PLAY IT ALL THE WAY THROUGH. YOU OWN IT.