I don't really see where people get this idea from that warrior's identity is selfheal, nowhere in the "berserker" fantasy do I imagine healing myself. I think a mechanic like the Brewmaster Monk's Stagger from WoW would be more appropriate. The warrior works themselves into a frenzy, so full of adrenaline during battle that they don't even notice the wounds they're taking immediately, instead slowly bleeding out.

Of course converting direct damage into a DoT effect would be almost impossible to balance in XIV, being able to survive tank busters without any mitigation because it can't instantly flatten you.