But I do not see any kind of precession that would deform the orbitsphere into something other than a 2d spherical surface.
This is correct! In his thinking the whole plane is undergoing the precision, which I guess he is mapping/linking to the spin precision. (Its not electron torque! - this is treated separrately)
Here two brand new actual papers (Russian) about alternative solutions of H deep Orbits . (Had no time yet to read them, just glanced..)
http://vixra.org/pdf/1609.0086v1.pdf
http://vixra.org/pdf/1609.0087v1.pdf