Before the most recent update, Intoxicated counted as a negative condition (removed by cleanse, not by dispel). Because the debuff was removed, should it count as a positive condition now?
I haven't tested for this yet after patch but I do know that you would cleanse it off your own units. It should be considered a positive condition now so in theory Cleanse shouldn't work on it.
I just checked, and it is still Cleansable when it should be removed via Dispel, fixed for next patch.
Being intoxicated is most definitely a positive condition. Unless you get so intoxicated you can't handle your Bane Shift or like DMR mentioned and the alcohol runs out, being intoxicated is great.