NFITC1, I don't have access to PROUD CLOD right now, but I'm sure some of the Gi enemies have a PreBattle script that sets InitialStatus.Death to 1.
As for 'recovery' vs 'health', Vgr isn't asking for the element's name (which I suppose we can only give accurately in Japanese, anyway). He's asking if the Recovery effect is actually caused by a seventeenth element, as opposed to Health / Restorative / 聖 (?). This isn't the case - elixirs just deal 100% restorative damage.
The easiest solution would just be to 'revive' the creature after taking a hit from a move with a particular ID (eg spells Life, Life 2, items Phoenix Down, Elixir and Megalixir).