I can see a CE doing a CDG to 'take someone with them.' That is different than always doing a CDG.
By my reading of the alignments, the Chaotic should be more concerned with who the individual is and their relationship with them than most other concerns. Even when it might make sense tactically to CDG them (the opposing cleric keeps using heal on downed foes), if all that the chaotic character wants is a one-on-one fight with a certain opponent ('Get out of my way, you flees! I've no time to deal with the likes of you, it is Sir Dunderhead I'm interested in!') then they are not going to take the CDG.
Notice that the above paragraph applies to CN or CG as well.
Personally, I would seldom have an NPC start CDGing opponents unless the other side has started taking extreme measures. Extreme measures could include things like beheading slain opponents and taking their heads (so they can't be raised), CDGing at every opportunity, or excessive Teleportation attacks and you've got a chance at the teleporting mage.
By my reading of the alignments, the Chaotic should be more concerned with who the individual is and their relationship with them than most other concerns. Even when it might make sense tactically to CDG them (the opposing cleric keeps using heal on downed foes), if all that the chaotic character wants is a one-on-one fight with a certain opponent ('Get out of my way, you flees! I've no time to deal with the likes of you, it is Sir Dunderhead I'm interested in!') then they are not going to take the CDG.
Notice that the above paragraph applies to CN or CG as well.
Personally, I would seldom have an NPC start CDGing opponents unless the other side has started taking extreme measures. Extreme measures could include things like beheading slain opponents and taking their heads (so they can't be raised), CDGing at every opportunity, or excessive Teleportation attacks and you've got a chance at the teleporting mage.