What I am saying is that your manuals are exactly what it says on the cover, Flight Crew OPERATING manuals.
With regards to the technical description of the aeroplane they are full of generalizations and simplifications.
It is not uncommon to see only the major components of a system described and assigned functions, which in reality are carried out by one of the many other components in the system that are not included in the description.
All in the name of simplicity.
And not only in that respect is the MM different fom the FCOM, it will also differ in operating techniques and limitations.
To give you an idea of how simplified they are, I can tell you that I have taken the computerized test in a couple of the systems and passed. Without any training or knowledge of the A320 I passed tests which I assume are based on information coming from the FCOM. I might just have been lucky, but I doubt it.