EWR:
Well I am a UA guy for a lot of decades and the "monitored approach" is no more. What you have been told is wrong and no where near the UA procedures, so fret not.
In approaches less than 1800 RVR/1/2 mile the Captain makes the landings.
On all CII/III approaches the F/O monitors the FMAs and proper autoland equipment annunciations and performance. Should any fail during the approach and prior to landing the F/O should say "Go-Around."
The Captain lands (if one can say it is a landing in autoland) and looks for all outside visual clues and references. Essentially the Captain is holding the controls and making sure the airplane is tracking and doing what it should down to taxi speed.
So rest assure the F/O does not "monitor" and land.
You will find the procedure works very well.