In your wall-staring example, high-level planning is still happening, the plan is just "don't move / monitor senses." Even if control has been removed and you are "locked in," (some subset of) thoughts still must be directed, not to mention attempts to reassert control. My claim is that the subjective experience is tied up in the mechanism that performs this direction.
Introspection is a distinct process where instead of merely doing the planning you try to figure out how the planning was done. If introspection were 100% accurate and real-time, then yes, I claim it would reveal the nature of consciousness, but I don't believe it is either. However, for planning purposes it doesn't need to be: you don't need to know how the plan was formed to follow the plan. You do need to be able to run hypotheticals, but this seems to match up nicely with the ability to deploy alternative subjective experiences using imagination / daydreaming, though again, you don't need to know how those work to use them.
In any case, regardless of whether or not I am correct, this is a non-woo explanation for why someone might reasonably think consciousness is the key for building models that can plan.