To me, a neutral head position means that you're not arching your neck up or down. Obviously, you'll be facing the floor if you keep your head in a neutral position and your hips high. On the other hand, if you keep your hips low you'll be facing the mirror. Some people prefer to deadlift with high hips, whereas some people prefer to keep the hips lower. And this is where I think people should do what feels natural to them.
I should point out that I'm not really a fan of the Pez-dispenser head position (neck arched up), but if the lifter needs the cue to keep his chest up and lower back neutral, then so be it.