Because you can't tell what the "spinner" is.

The "peeker" will see that the first die landed on a 2 and that "starts" the problem.

The "spinner situation" is only meant to give an example.

But okay, I will look at it your way. Let's say the first die settled on a 6, but the "spinner" landed on a 2. Even under those circumstances the die that landed as a 6 would still be only a 1/6 chance that it also didn't land on a 2.

Either way, it's 1/6. 1/6. 1/6.

It's a one roll "problem." It does not involve multiple rolls. You cannot switch values of any die to accommodate your 1/11 answer. Now go back to the WOV and let them know their methodology was wrong. Their math is good -- but their methodology and interpretation is wrong.