Is it possible to disable the game center completely and permanently in iOS 6?

I am trying hard to avoid signing in to Game Center, but the interruptions and pop ups make this hard to do.

My impression is that after the third time I don't sign into Game Center, a pop-up asks if I want to disable game center. The text implies I want to be really sure as disabling GC means I'll lose so many wonderful features. It also tells me I can always enable it later in Settings. Each time I'm offered to opt out, I say yes intending to disable GC.

If this worked, I'd think it great, but the next time I launch a game, the now allegedly disabled and definitely signed-out-of Game Center (into which, by the way, I've never signed in) is back asking me to sign in.

What can I do to avoid this?

I'm concluding the answer is no until someone proves otherwise.