When the Regulator has a "closer than normal" relationship with the Operator, you're already up against it if you "complain" that you are "fatigued".
Haven't seen any actual FTL figures from EK crews (official or candid). That would be interesting. Only know a friend there who does a lot of "East then West" flying and seems to rarely get a decent "block" of days off.
As I say, a proper analysis of FTL would be interesting.