Proper way to use Raw Intuition?

[Sarcatica]

There's actually a reddit post that goes into great detail about how it's a raid wide dps loss to cleanse pacification off a war, unless you have a brd who literally has no other oGCD to use than warden's paean.

It quite depends on how you interact with the healers who are going to cleanse it. Cleanse technically is a very short cast. If the assigned healer knows exactly when to cleanse pacification right as it hits, you are technically trading up a very small dps (just 1sec cast) for ~2 GCDs from the WAR. This is if let's say SCH is the one cleansing it and he/she already has all DoTs up, at most you are sacrificing a Broil for 2 GCDs from WAR (typically 300pot++ for sure). This however works best if you have synergy. If not, then it's basically a DPS loss because healer probably cleanses pacification off when it's already about to end or something.

[JackFross]

It's trading 1 healer GCD for 2 WAR GCDs at best. At worst you trade 1 healer GCD for nothing from the WAR. It's on average trading 1-for-1, which is a net gain of 0. It's silly to Esuna the Pacification for DPS reasons. There are OTHER reasons that cleansing Pacification would be the correct strategy, but those situations are few and far between and would only exist in raid scenarios when Berserk is used at a specific time with the healer cleansing it at the exact same moment every run in order to facilitate the WAR doing something else specific, unrelated to DPS output.

[Destous]

Raw Intuition could be ghost changed to do nothing except grant a stack, and it would take a long time for any WARs to notice. That's the most practical way to use it in any situation.

[Shurrikhan]

It quite depends on how you interact with the healers who are going to cleanse it. Cleanse technically is a very short cast. If the assigned healer knows exactly when to cleanse pacification right as it hits, you are technically trading up a very small dps (just 1sec cast) for ~2 GCDs from the WAR. This is if let's say SCH is the one cleansing it and he/she already has all DoTs up, at most you are sacrificing a Broil for 2 GCDs from WAR (typically 300pot++ for sure). This however works best if you have synergy. If not, then it's basically a DPS loss because healer probably cleanses pacification off when it's already about to end or something.

The thing is that every cast less than a GCD still takes a GCDs active time. If somehow pacify timed out neatly to when the healer needed to move, too urgently for a full cast but not so urgently as to need a instant, then that 1 second cast might matter.
The worst part is that the cleanse can't be queued in any way (apart from Warden's Paeon). It takes about a second for the game to realize that pacify is up and cleansable, and another second for the cleanse to take effect. At best, you save just over a GCD for the WAR. Unless he's holding onto a combo that would otherwise fade, it's not especially worth it unless that WAR significantly outgears you, absolutely needs those GCDs (for Wrath stacks), etc.

tldr; The best Berserk macros are used to bug the Bard, not the healers.