Well, that sucks, but Most enemies have 2-3 Different items you can despoil which correlate to the debuff it applies. I'd still wager Ooze is a rarer possibility. Kinda like how you can Despoil either a Beak or Feather form birds, or different varieties of seeds from Sapplings. so forth!
Its not related but i THINk Enuyasha is referring to the JA being in different timers thus another proc for dyna ?
I believe so. They made it to where Despoil/Steal are on separate timers. But, You can't despoil from Dynamis Enemies can you? Sucks :(