Changing the turrets on Summoners Rift

I had the random thought of making a game mode that gave turrets the ability to gain the gold and experience that's lost in an empty lane. It would be a double edge sword for the player winning that lane. If you let multiple minion waves die to your opponents turret then you would have lane dominance normally from getting levels and CS while denying your opponents both of those resources; the turret would be worth more gold when you take it because of it last hitting minions and claiming their gold, but with the turrets also gaining the experience from the minions as well, it will hit you harder and have a little more heath then it normally would.