You could die during the Raise animation in FF11, but very rarely would you actually raise in battle because weakness was stupid in that game. Lasted 5 minutes, reduced max HP/MP, and horrific Slow effect. Also hope you didn't die anywhere near an undead enemy, as they aggro low HP and would attack you immediately when the Raise animation started, and the low-hp aggro range is a lot larger than the other aggro methods.

And yes I am also of the opinion that people should be able to be healed if they can be targeted by AOE.