From another thread
"i think as long as your older console has never been 'officially' banned, then all your saves, achievements and what not will continue to work just fine between the two unbanned consoles (old / new). trouble comes in when you try to use a banned console for offline play for saves, achievements, etc and then move those to an unbanned console. your profile will appear corrupted on the unbanned console.
so again, as long as your old console has never been 'officially' banned, your profiles should work fine between the old (unbanned) and the new (unbanned) console. i think it's the dlc content that is tied to individual consoles."