Mmmm I say it again. the FCU controls the fuel pump. If you add more throttle and increase your RPM the pump moves faster and increases its flow in such the pump is is controlled via RPM with in turned is controlled by the FCU which is controlled by the Pilot.
Hence you could say that the FCU is the brains behind the fuel system.
This is true for all EDFP which may be a turbine or a combustion engine.
Also what you are measuring is engine trends I don't and no one I know runs a book on what components are breaking and at what time, how ever if we notice we have a problem showing up we can go back and look at what we put on via P# etc from stores and see whats happening.
It surprising how different pilots treat the machines and is quite noticeable when you have a dud pilot and see that problems they cause and then when they leave the problem goes away and the problem restarts at a different place
Cheers