4th job Single Target DPS

This is in thousands?

Not sure what you did for Corsairs - did you average the ship and Rapid Fire? That's a bad idea - unlike Buccaneers, which can transform exactly half the time, it is very hard to get an idea of how long a Corsair can stay in the ship. It depends on the location, on the level of the Corsair, and on the control of the Corsair.

You should uncheck the Fire and Ice boxes, it makes the AMs stronger when using their main single target attack skill. I'm going to change the magic formula used shortly but it's:

Corsair (Ship) - 213
Corsair (no ship) - 138
F/P (LUKless) - 73
I/L (LUKless) - 67
Bishop (LUK) - 49

I'm getting, with Apples, a Corsair needs to stay in Battleship roughly 72% of the time to outdamage a NL with SE and Apples. Let's assume 3/4, to be safe.

Well i was basing this on HT where battleship will probably only last not even 50% of the time. Your right about mages.