That's not a correct description, but it's true in some way.
1) QE did not transfer money with any caveat to pay bondholders. QE is not like giving cash to a country. The ECB buys up bonds on the open market (thus mostly from banks, which supports your point).
2) The buying up of bonds drastically reduces interest rates, because artifical demand is created.
3) The South can now borrow money for pretty low interest rates on high debt-loads. Italy wouldn't be able to afford high interest rates very long.
4) Northern banks holding higher paying bonds in their portfolio profited because the high-coupon bonds values increase.