I know nothing of the dark and wondrous workings of the electric jet and what the autopilot will and won't let you do, but in my book (737) it is exactly as Captain Pugwash's mate says. Bug up for the Cat IIIx, advise ATC who, if you are lucky and they are not busy might give you a 'semi-protected' environment, and then allow the full automatics to proceed - with 'standard calls' - hovering like a fussy maitre-d' over the controls lest some infringement of the protected zone might cause an interesting diversion onto the grass. Common practice (not the grass) to get your mandatory 'minimum' landings to maintain qualification and for training. Normally works just fine.