The only way to get that is to have done the quest on both characters, which is impossible now. We're not talking to you, go away. :P
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I googled this to see if anyone else thought the same, glad to know I'm not alone. I have to ask. Why are all cosmetic mogstation gear for individual characters only? Why are the outfits bought not account wide?
I think everything and anything purchased should be account wide, no exceptions. mounts to glamour to dyes..all of it.
quested items no...... but purchased....yup.
I think there should be more account wide things in general. You worked for it once why do you have to do it again, at least for mounts, minions and event items (maybe some achievements and housing) it's not like you get it for free. I actually assume the event items aren't shared so people have to buy them. Maybe if there was a GLAMOUR CLOSET system something like shared event glamour would be possible.
But even then I'm not sure that would be happening. So yeah my focus is more on items than hair but in general I agree.