Hoodless snow jackets are pretty rare, and for good reason—your head loses heat fast, and storms can roll in quickly on the mountain. Most dedicated outerwear includes a hood for that critical weather protection.
That said, hoodless jackets do have a place. They work well as mid-layers under a shell with its own hood, or for warm spring park sessions where you're running hot and just need a beanie. They're also the lightest option since there's no extra fabric or hardware.
The catch is simple: if you're wearing a hoodless jacket as your only outer layer and the weather turns, you've got no backup. You'd need to rely on a helmet, beanie, or separate head covering. For most riders, especially at resorts or in the backcountry, a helmet-compatible hood is the safer bet. Save the hoodless option for layering or sunny days.