BLM has always been about knowing the fights well enough that you know when not to use certain abilities, and which mechanics you can ignore or cheese. If a BLM knows the fights that well, but is still having problems, he is (1) overmoving or (2) not killing things fast enough or (3) not using enough of his "Additional effect: Ignores Mechanics" abilities.
For example:
1) This entire fight can be done without moving once. If you want to make it more convenient for the tank and melee DD, park by the boss so it doesn't move if it decides to snare you.
2) If you kill the add fast enough, there are no puddles to deal with. BLM should be able to two-shot the add.
3) BLM has two teleports on short timers, and a shield. You can use them to minimize downtime during the eruptions. Knowing that eruptions are a thing that happens, you can also prepare by keeping Swiftcast for that part, and forcing a Thundercloud proc with Sharpcast ahead of time.
Seduction only happens two or three times. Enochian should be ready to reactivate after each one, should the timing be inconvenient for transposition or you lose your stacks. The same applies to the last boss.