On consoles there is an option to play completely offline (no xbox live/psn+ requirement). The online data and offline data are separated. Whenever you play online we mirror all online progress in your save file so if you want replace/update your offline data with your current online data there is an option for that when choosing offline mode. This is mostly for players that have been playing online for a while but having their psn+/xbox live subscription lapse for whatever reason so they can continue playing at the same progress level if that make sense