Can I Play Original Xbox 360 Games Online on a Flashed Xbox 360?

I bought a flashed xbox 360 and I would like to play online (not the burned ones). So if I BUY a game in a store (let´s say Halo 3) can I then play it online without getting banned ? Again don´t want to play burned game online just the ones i bought.

Suggestion:

id assume not. the xbox live magicians would detect its a flashed xbox even if the game is genuine and simply perma ban you

Tagged as: 0h, can I play original games online with flashed xbox, is it safe to play orginal xbox 360 hanes on flashed