The main power draws on a laptop are the display, the GPU, and CPU in that order. If you can't tame the first two, the third won't matter if we're discussing hardware platforms in the past 5 years.
If you can tune one distro to be as power efficient as you like, any of them can do it. There is no functional difference between any of them that is not configurable.
The most power efficient and balanced platform you're going to get is an AMD APU for general work, or something REALLY weak but efficient like the lowest of low-end Intel like the n-series chips.
Anything with Nvidia in it is going to drain your battery quickly, even if not being utilized (that's a hardware design thing I won't go into).