this matchup isn't so much what hakumen has, but rather what litchi can't do.
in short, she has to play this matchup differently than most, and it's to her detriment because she loses two of her biggest strengths; range and mixup.
hakumen can play this matchup like he's fighting jin and do pretty well (only litchi is much less scary, especially if she has her staff). just do the rounds; ib shit and counter from there when the moment's right (hint: litchi with staff has like, two gatlings), keep her on the ground by doing your hotaru/air throw shenanigans, and keep the pressure on when you can.
of course, what (mostly) evens this matchup out is that litchi still has a great oki game; even if you can mash hotaru like a boss, she can still keep you cornered if she's smart.
edit: second half of this post is a nice summary of the matchup.