I'm debating on which Moogle Hat I should obtain...
On one hand I can get +10 Acc and 5 Attack with 3% Haste or sweet WS gear that can be used for other jobs. I'll Call this TP hat.
Ninja is my favorite DD although Ranger is a close second, and I loath with my current TP. With a moogle hat I can make a hat that provides +4 Str +15 Ws accuracy, +10 to acc and + 5 Att. I'll call this the WS Hat...
Using Marinara Pizza+1 I can reach 93% with my standard TP gear on Mamools, with the exception of Mamool Ja Infiltrator which is only 80.5-89.5 with my Max Acc gear (and not sacing Haste). So for practically any non Infiltrator I'm capped acc because Innin provides at least +5 Acc bonus.
To cap my Acc on Infiltrator I need anywhere between 11 to 29 which would make using TP Hat no brainer to close the gap. Also I can swap out other gear as I see fit on other mobs when we're not fighting Infiltrators (which I already do depending on how long Innin has been up).
On the other Hand the WS Hat can make up for my lacking WS gear. Although majority of our damage comes from TPing not WS, but it's nice to put up decent ws numbers or swap out acc other acc gear for str/att/dex (in no order). Not to mention it can be used on rng or another DD job (although I disliked 2hnd jobs for whatever reason I liked Sa Sturmwind when leveling war).
And Shiyo I already know your answer is for TP hat :p