[Suggestion] Hilbert's Bottomless Bag of Coins

The idea for this item is to serve as an additional method of gold generation outside of gold income items, This would be for duo lanes (not just bot lane mind you!) where gold and xp gained is split and therefore can really mess with your champions growth. This item is meant to be bought early on and work well in a lane where you farm alot if say you're against a lane comp that would normally win against you; to avoid the feed scenario you play safe, control the wave and effectively freeze lane until your allies can help you. Let's see that item:

** Hilbert's Bottomless Bag of Coins**

Unique PASSIVE - _Everytime an allied champion scores a killing blow on a non-neutral minion or creep, gold and the xp equal to the amount your ally gained will appear inside Hilbert's bag (1 second internal cooldown); this bag has an infinite capacity. When this bag is sold back to the shop gain additional gold and xp equal to the amount stored. Upon death, lose 1/2 the gold and xp accumulated in the bag (rounding down for odd numbers). This item will refund 100% of it's cost when sold back to the shop. _

Cost: 200 gold

So As was stated this is meant to bought by duo laners or a support, but I've also added a mechanic that punishes overly aggressive players where the bag can lose some of its contents if you die. This item is meant to be used when paired with 2 people farming in a lane, not to used while also int'ing. It also provides xp as certain types of champions, like mages, need xp almost more than they need gold to be relevant; ranks in abilities can count for more than items.

The bag's owner is in reference to Hilbert's paradox of the Grand Hotel

Thoughts? Comments?