Headlamps can be dangerous because the shadows are in the same plane as your vision. I gave up using them for hiking because they didn't help me see drop-offs. You're better off with a light in your hand or on your waist.
But you lose head aiming into curves, so maybe somewhere in the jaw region might be interesting. You'd need an entirely new approach to fixing for sports that don't already have full face headgear, but the usual forehead position isn't exactly fashionable either (historically this position comes from mining I think, where the shadow/structure effect isn't wasted when it works on the ceiling instead of on the floor).