I would hope an old Xbox One disconnected from LAN and WiFi, with a GTA VI DVD inside, could start the game just fine.
GTA VI is not being released on the Xbox One. Game discs aren't DVDs and haven't been for well over a decade, they use Bluray discs, which won't even matter since GTA VI isn't shipping with a physical disc, only a code.
You need internet to access this product. You need updated system firmware.
The resulting early Xbox One pivot removed features that would have been useful when systems were down and replaced them with "offline capable theater" instead. (The same pivot that also killed the Kinect and Xbox One multitasking and host of other useful media features.)