Thanks you for addressing this neglected issue. I'm certainly not a physicist, but in my experience I've found that even highly successful mathematical representations of a system may not accurately represent all processes and elements involved in producing the system's observed characteristics. I think most physicists would consider me naive (or more directly, ignorant) but I do think that physical effects are produced by physical mechanisms, not mathematical abstractions. Certainly mathematics are required to very precisely analyze and describe physical effects, but many people will never comprehend those necessarily complex mathematics.
I would like to mention that I had difficulty understanding your caption to Fig. 6: "... as its transparent cone shows, the orbit extends outwardly relative to the nucleus, intuition tells me that it will to give rise to a stronger orbital magnetism than the 2s state."
I was confused, since all points within the illustrated electron's orbit are equidistant from the nucleus. Then I realized that you were referring to the electron's orbital axis - a smaller orbit does increase the distance between the electron's orbital axis and the nucleus.
The distance of the electron's orbital axis from the nucleus might indeed have some significance in determining its magnetic properties, but I can't assess.
While the uncertainty principle seems to make electrons' precise simultaneous location and velocity indeterminable, established theory constrains their locations to a set of specific distances from the nucleus; I don't know that there should be any problem proposing that they be further constrained to, not just a specific area of a 'shell', but a circular orbital path within that specific area.
However, that conception seems to conflict with the electron illustrated in Fig. 3, where the electron's charge is 'smeared' around it rotational plane. The later illustrations (especially Fig.s 7 & 8) seem to lose the idea that particles are not localized, as expressed in the orbital 'cloud' analogy.
I hope I've explained my reservations somewhat understandably - please feel free to ask questions, etc. Unfortunately I don't have any suggestions - you've undertaken a very challenging but I think important task.
Thanks and congratulations, Jim