As I see these exotics should be bind of equip, not account bound on pick up.
So the ultimate question: Could the support unbind the bind on pick up exotics?
I got a longbow from the fractals, but none of my characters can equip it, and I dont even plan to level such character. So its easy to see, that I could not equip it even if I wanted to. It just became account bound as I found it.