No Airline's Flight Data Monitoring program ought to pick up pilots for operating well within the aircraft envelope, as in the situation LUPA describes...just because on a 'normal' line flight we only move the flaps in one direction after we have cleaned up post-takeoff, doesn't mean that we can't! What if ATC changed their minds and asked for green dot speed (220kts?) again, after requesting 180? Would you expect FOQA to pick up on that if no limit speeds we exceeded on minimum speeds underflown?
I would expect not - b*llocking pilots who don't fly 'just so' is not what FOQA does - speak to your Flight Safety department about the system and learn about the benefits for all of us, rather than subscribe to the usual uninformed crewroom urban myths about FDM!
Now, the kind of thing FOQA may be set up to spot, is deliberately flying below manoeuvre speeds for the current configuration...that should result in a quick Q&A with the boss!
LUPA's idea might be worth trying one day, with a well-briefed crew and (ideally) a low workload situation (just so you are more able to monitor things properly!).