That's stupid. Real MMOs have it in a form, eg some classes can't use clubs, but destiny is an fps first. And each exotic brings something unique to the table.
I say, allow ace of spades, tlaloc, and whatever auto is titan specific to be used by other classes, but the quest can only be received by the corresponding class.
I guess this all comes down to- do you want classes to have distinction, or individuals themselves?
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no class specific weapons add to the feel of your character being your own like sub class skill tree choices or my race and class plus my load out and now class specific weapons will fuel that fire even more