Pvp only. It's honestly kind of crappy that they can just continually throw one shotting projectiles and never take damage from it at a close range. Also a reduction of damage when you're only in splash radius. It shouldn't kill you if a tiny ember hit you from far away.
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No it should not hurt the titan. I don't even play a titan but it opens for every other super to hurt the one that uses it. Should blade dancer accidently stab themselves? It sucks already that your own grenade kills you better than the other person and too close to a rocket whoops your dead.