well, if you synch your game via your facebook profile instead of your gamecenter, it will prompt you once in a while te relog, since facebook's authentication has a lifespan of a few hours to days, while gamecenter is account bound.

and things like ereasing your device can only be done if you use iCloud's findmydevice function, and not via your phone company

If you sync your game via your Facebook profile instead of your Game Center the game will prompt you once in a while to re-log since Facebook's authentication has a lifespan of a few hours to days while Game Center is account bound.

Things like erasing your device can only be done if you use iCloud's Find My Device function, not via your phone company.