I do agree that the Princeville area tends to be a little rainy and probably cooler.
In January, Poipu is likely to have better weather. This is true of all the islands, north shore in winter will often be cool and rainy. The big waves will also affect most of the north shore beaches . . . great if you're there for big wave surfing, not so much if you just want to go for a dip in the ocean.