I think this perk could be very helpful but also cause a little bit of trouble. If you recieved the exp from the item you unenchanted this could be easily exploited, for example: If you enchant a book and you don't like the enchantment on it you could /unenchant the book and enchant a new one, This issue could be fixed by simply removing obtaining the exp from unenchanting.
Other than that, this idea seems pretty good. In my opinion the perk should be availible for higher ranks only, maybe supreme and ultimate.