I will have to disagree if your ear has been tuned in one key shifting into another doesnt mean another scale degree will sound like Do in that very moment. But once your ear tunes, yes it will sound like Do, but there is going to be a switching period.
Maybe this is why like in Back to the Future he is like watch me for the changes and try and keep up?
My stance is with only 24 hours in a day, I have to be really choosy about what I spend my time on. Finding something with direct application to a real world scenario is always what I aim for.

