To be more detailed, some discussion took place, it was decided that points are silly to use on legendaries and these are handled by officers voting instead, and that's about it. It's really not a normal piece of loot, though Atiesh is comparatively speaking not as 'rare' as the other Legendaries, it's still not close to being normal. Points were mostly decided as being silly because of this simple fact: "Who would you rather see it go to? That guy that's been hoarding points for a long time, or that guy who's been spending his points on doing his job best.", hence officer vote.
We looked at which staffs we thought were the most beneficial to the raid, and then made a list of who gets their splinters in what order. It was based totally on past commitment, attendance, and performance.
Giving them all to one person (at any given time) is really the only efficient way I can think of to distribute them.
When it eventually dropped, we put all the people that were deemed eligible for Atiesh given lifetime attendance, performance, etc in a chat channel. Each person voted for 2 people within the group and were not allowed to vote for themselves. The person who received the most votes was awarded our first splinter. It ended up being a mage but we did not restrict any class from getting it.
Since then, 2 Atiesh-eligible members have quit and another went inactive. Neither of the quitters cited the Atiesh as a primary reason but the timing was fairly conspicuous. These had been 85%+ lifetime-raiders in the guild for over a year.
Orange text does funny things to a person I guess.
The first one was a no brainer. Our guild has 1 GM, 2 Officers, then a bunch of Coucilors below us. The GM is a Rogue, I, another Rogue, am an Officer, the other Officer is a Warlock. He had 98% raid attendance, and the highest DKP. He took a very large DKP hit and started collecting the shards, and there was no disagreement by anyone. He missed 0 splinters. Around the time he had 32 splinters, we had a discussion. A Member ranked Priest was at the top of the DKP, wanted the staff. He had around 75% attendance, as he was often late to raids due to parents and/or class. A Councilor Priest also wanted the staff, and had 100% attendance, but he was a bit lower in the DKP. A Councilor Mage ALSO wanted the staff, and was between the two Priests in DKP, but he had a class that would cause him to be late by hours most of the time on raid days. He was also now sharing a dorm room with the Member Priest that wanted the staff.
In the end, the Member Priest doesn't play anymore, the Councilor Mage plays rarely, and the Councilor Priest hasn't missed a splinter yet.
We decided our first staff should go to a mage or warlock because DPS > Healing. We have a mage who's been one of the most dedicated members of the guild from day one, second in lifetime attendance (behind me but I don't count), helps out with our DKP, etc. No one could really question whether he deserved it. He got 40 splinters without missing any. As he neared 40, we as officers nominated about 10 people who were interested in the staff and had high lifetime and recent attendance. Because there really was no fair way of elevating one of them over any of the others, we let those 10 people figure it out -- they opted to do it by secret ballot, such that each of the ten would cast two votes, not allowed to vote for themselves, and the top two vote-getters in that order would get Atiesh #2 and #3. I think that worked out well.