My take is this. Moon phase means nothing to the hogs. I shoot them regardless of moon phase. Wind is a really funny thing. They all seem to like a little wind, but not too much. What Dan said can ring very true. Overly windy hunts tend NOT to be my better hunts, though I have shot a goodly number of lone boars during very windy nights (not as many as on calmer nights) and managed to get into several sounders during really windy nights. What is considered too much wind will depend on the norm for the area.
I think some of the bigger lone boars feel pretty safe regardless of where they are, rain, wind, snow, etc.
As I see it from my experience of getting on hogs in windy weather, the hogs are still out there, still moving around, not ever going to miss a meal. However, sounders probably are not venturing as far from areas they consider to be safest, where they are most comfortable. They aren't bedded down and hiding, but they aren't spread out over a large are in a field either. When they are out in fields (because the wheat and oats are so yummy and they are so hungry), then then to be in tighter groups. Remember that hogs are very social animals and often communicate to one another when out foraging, and the higher winds are going to really limit their ability to do this. So they tend to stay together more.
If you are hunting a singular property that often has hogs on it, but find none during windy weather, it very well may be that they are not living on the property or in the immediate area, or they don't feel the area is safe. If you can hunt multiple properties during a night, chances are you are going to get on hogs regardless of the weather. In over 40 hunts, Dave and I have only not gotten on hogs once, but we check multiple properties. The one bad night was not just a windy night, but with with wind lows around 25 mph and gusting to 40 mph. There were sandstorms on the newly planted wheat fields we were hunting. It was a horrible night.
My favorite times to hunt are with 10-15 mph winds. It isn't enough to spook most hogs and there is enough wind to help cover the sounds of me moving through the brush. Playing the wind really works in your favor then. 20 mph is getting up there, but not too bad, but certainly more than I would like.
What I do know is this. If you don't go hunt, you have zero chance at getting hogs. If the night is windy, you may need to go to the hogs versus expecting them coming to you (stand hunting).