If you wear a helmet on the mountain—which most riders should—then yes, a helmet-compatible fixed hood is the way to go. It's permanently attached and sized to fit over your helmet, with adjustment features that let you dial in the fit whether you're wearing your helmet or just a beanie underneath.
The big advantage is weather protection. Because it's fixed, there are no gaps or zipper seams for wind and snow to sneak through, and it stays securely in place even in gusty conditions. It's the most reliable option for storm days and all-mountain riding.
The main trade-off is that it can feel a bit bulky when you're not wearing a helmet. If you sometimes ride without one, make sure the hood adjusts down snugly so it doesn't flop around. But for most resort and all-mountain skiers and snowboarders, this is the most practical and protective choice.