You're missing the point. The spinner situation is an analogy for the question. It is not the actual question.
In fact, if this happened at an actual craps table the peeker would wait for the spinner to come to a rest. And then if the spinner came to a rest showing a 2 what then? Well, the question would then center on where the first die came to a rest -- and that would be 1/6, wouldn't it?
Of course it would be -- you said that yourself. When one die is known as a 2 the situation rests with the other die's six faces.
This is why those of us who say the answer is 1/6 just can't figure out how you guys continue to say the answer is 1/11 ??