Anyway from what the OP posted it looks more like the healer and blm are trolling or just being a pain in the ass.
Yeah pretty much this, almost felt like they were intentionally wiping. Strangely enough, the other DPS didn't have any issues at all. I find it hard to believe people could be that daft. I've done dozens of full Brayflox runs now, and have never seen anything quite so "special".

The only other example that sticks out was the i100+ SMN who had Titan Egi out for an entire Brayflox run. Clearly a troll in that case, they had at least 3 drops from second coil on display.