The 2200G will probably have a higher power draw compared to the 1200 when you use the integrated GPU. However, the 1200 requires a dedicated GPU to be usable. And 1200 + dGPU will take more power than 2200G on it'S own.
So if it's all about power saving and you don't need a GPU stronger than a GT 1030-class, then the 2200G without a dedicated GPU would be the better choice.
This is all speculation though, as the 2200G isn't released yet.