It looks like you and I are concerned with many of the same problems, and for similar reasons. I'll keep 'Metaphilosophical Mysteries', and also this comment, in my mind as I continue to develop this sequence.

I don't have anything to say off the cuff, though. When talking about something as fuzzy and misunderstood as intuition, I want to be extra super duper careful how I speak. I do that better in a post that has been edited and tweaked over several days or weeks than in a comment.

I look forward to hearing your thoughts as I continue my work on this sequence! We have similar background assumptions and thinking methods, but you have higher g.