I don't think ability words have to be listed here, as they are explained right in the oracle text anyway and just work as a marker.
Will of the Council; White's best blanket solution for any (nonland) permanent. It doesn't even target! Not so clean textually, unfortunately, but most players familiar with the card shortcut to "exile target permanent of your choice an opponent controls." I would gladly replace this with a cleaner alternative. Come on WotC! You can do it!
I think it has to do with the 'gimmickiness' of a mechanic. Suspend is wordy and somewhat complicated, but it's mechanically unique and clearly serves its purpose. Support is just a simple, straightforward mechanic. While it could be written out, it's easy to understand, and the reminder text is right behind it to clear it up. Cleave, on the other hand, feels contrived. Its use of square brackets clashes with the general feel of Magic text boxes, it's a character that never has been used before. Will of the council is a multiplayer keyword that, literally, does nothing in two player games since the outcome is almot 100% predictable. Technically you and your opponent could both vote for carnage on Coercive Portal, but the game scenarios where both players want the non-tiebreaker option are rare indeed. For Council's Judgment in particular, your opponent will almost never have a reason to exile a second permanent (unless they run a card that kills themselves, like Demonic Pact), so this incredibly wordy card 99% of the time boils down to 'exile a permanent of your choice an opponent controls,' which makes the actual card look unnecessarily overwrought.