Debuffs (other than resists) stacking?

Do other debuffs stack the same way as Resist debuffs?

So something like Blackwater Cocktail, which says X reduced target’s offensive ability, would not stack with another X reduced target’s offensive ability thing.
But something that says -X offensive ability would stack with the above and with any other -X offensive ability thing.
Is this correct?

All debuffs, such as your offensive ability example, follow the same general rules.