Greetings,
Redundancy is a good thing but CAT II/III autopilot and HUD with the same capability

I dont think airlines will pay for both, now as an option if you want both that a good business for the airframer.
A simulator equipped with both makes sense, it is a device that provides TRAINING....
Second you cannot and shall not use both at the same time

because whatever provides guidance shall provide information i.e., FD bars, and for your information HUD has its own sources, Gyros, computor, recievers.
NOW if the HUD is just interfacing (like in the Airbus) i.e., duplicating what is on your PDF then you can use it to look through it, BUT NOT TO MAKE A CAT III MANUAL