Modded Xbox 360 and Copied Games?

I bought a modded xbox 360 Elite and heard if you play copied games online you would get banned and i played some copied games already,then i bought an original Halo 3 NTSC version will i get banned if i play online ,and can I get patches for a fake game?like oblivion and get patches for it through xbox live?

Suggestion:

As soon as you mod your 360 to play pirated games, you can forget about ever going online ever again. You will get banned whether you have the original legit game or a copied game. XBL doesn't check to see if a game is the real one or a copied one, it checks for modifications done to the 360 itself. When it finds that something has been altered, you will get banned.

So no online play, no updates, nothing.