Re: non stealth game
During the last ban wave they removed the banned xbox's ability to install games to the hard drvie. The Hardr ive was never crippled or unusable they just disablded this fuinction along with things like dlc, streaming media to the xbox, etc.
However in the lastest update in april, when the usb flash drives were added. the update restored this game to hard drive install functionality again. No one really knows for sure why they reenabled it. some say it was due to pending lawsuits, mircosoft couldn't get the flash drives to work without allowing hard drive functions again, and I[ve even heard it was just overlooked. But again no one but microsoft really knows for sure.
What will happen, and is still true with banned consoles during the last ban wave, is that once you access your profile or a game save on the banned xbox it is flagged with some kind of ID number. this number will make the profile or game save appear as corrupted on any other console, but it will remain totally usable on the banned console.
If the console is banned and you don't access anything you can take the drive and just place it on another console, recover the gamertag and you should be good to go with no tagging or "corruption." There are also ways to untag or uncorrupt the data you did access so it can be used on a legit xbox. I won't go into how to do that here but im sure you know how to search the internet.
Now considering your situtation, I would frequent modding sites just to check up on thing to see if people start talking about being banned. if another ban wave comes it might be best to just pull your xbox offline and keep it that way. go get another arcade unit to play online and keep it legit. use a flash drive to tarnsfer your gamertag.
hope this helps.