Fates increase company points? Honestly didn't know that. Might do a few when I'm bored then.

And yeah the speed run concept there is awesome, you pull everything up till that room right before first boss and tank on the far purple ground. When I did it on BLM my convert timer was coming up at exactly the same point so 3 minutes a run.

As for the name of the dungeon just call it "dizzy" for short, after how you feel fighting that 2nd boss.