The question is where does that subjective 0.01% - the rider on top of the elephant come from?
We generally do not pay attention to walking, breathing or brushing teeth and so on.
We can do more complex tasks as well once we achieve unconscious mastery in some subject.
With proper training we can play chess or tennis ("The Inner Game of Tennis") at a high level, without paying attention. In fact it can be detrimental to think about one's performance.
It is the Dennett's "multiple drafts model" - but where does the subjective experience arise when some model is brought to foreground "thread"?
Thus allure of Chalmer's zombies. Why not have a 100% zombie?
There are many stories of people seemingly being conscious, yet not really.
Black out drunks driving home from a bar.
Hypoglycemic shock is another example - my wife's diabetic friend was responding seemingly logically and claiming to be conscious, yet she was not and paramedics were barely able to save her.
A human being can achieve very high levels on unconscious mastery in multiple subjects.
A very tired me gave a remote lecture (on intermediate Python) during Covid where I switched spoken languages mid-lecture and even answered questions in a different language. Meanwhile I was was half asleep and thinking about a different subject matter. I was not really aware of the lecture material - I had given the same lecture many times before - I was on autopilot.
Only after watching the Zoom recording I realized what had happened.
Thus, are there are some actions that our zombie (unconscious) states unable to produce?
Presumably, subjective experience helps in planning future actions. That could be one avenue to explore.