Well it must be a custom hatter that gives +10 agi or something, and that is not listed on the forums. Or they use Cecil cards. 5% aspd stacks with awakening potion.
As far as I know, it will be a LOT easier to hit 193 aspd (yes 193 will be the new aspd cap) in Renewal without having gear that is so OMG that people are afraid of mentioning them. What with being able to have say 120 base agi, 100 base dex, 120 base LUK and 50 base INT at lv 150 (could be higher or lower, I didn't calculate it - it will be possible to get 120/120/120/23/2/1 if going 'extreme').
And oh yeah, I didn't mention accessories. There is Orlean's Glove with Zerom or Yoyo, or Horn of the Buffalo with same cards. It gives enough to hit 190 aspd with the mentioned-above gear (not the falconer build).
My build is less extreme and more min-maxing (and plain fun I think, having the falcon go off every second).
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Edit:
Normal hunting = not eating agi food >_> (or any food).
Crit lock with a sinx is possible at 175 aspd (each katar attack does 2 hits, and both hits flinch the target, both hits affect Safety Wall also). 187.5 aspd would achieve same with bow, not counting the falcon proc.
Puppy Hat, yeah I got one yesterday, its nice, but with Morrigane Helm I can't afford to equip it. If I'm doing something "hardcore" I'd be with a High Priest anyways.
With the falcon procing, I would have the equivalent of 186.5 aspd (75% of the delay since its one hit every 3 attacks, 1/1.33 = 0.75 x delay) without any outside buffs.
Test my build's dps? Even if it's not the top or best of the best, I'd keep it though.
Little Sara 87/50 Assassin
PM me if you want to contact me, will more likely be replying than in-game (not always on Assassin).