Dammm, not sure as to what is exactly happening with your profile. So if you sign into a unbanned console, does your gamer tag and all work correctly?
Don't remember how I got my profile across from my unmodded console to my modded one but the problem is when its transferred back, it corrupts so I have to use software on the pc to extract profile, uncorrupt it, rehash it etc
Then its recognised on my main unmodded console but wont let me access live or save my achivements from the modded console.
I also tried modifying the profile so the console id matched that of my unmodded console and other details but it just tells me my Xbox Live details are invalid.
Well I sorted it I hope but lost all my achivements from the modded one though the saves worked I deleted them and started again.
What I believe happened was I must of recovered gamertag on the banned console so it affected the profile.
So what I did to test was recover on my unbanned one, transfer to banned one and it worked fine and when I wanted to go back to the unmodded one(for my XBLA content and online original games) I had to rehash and uncorrupt the profile then the achivements and gamerscore shows on my unbanned one.
Havent really played my banned console much since so cant check if its staying that way.