Hmm... Meiko has Evil Food Eater Conchita and a chainsaw, but Rin has Fear Garden, Daughter of Evil, Trick and Treat, Song For Great Satan, A 13 Year Old Killer, a clawed hand, and both have Alice Of Human Sacri-- MY MONEY IS ON RIN.
Can't argue with that. It might have looked a little bit silly if she had a machete. At least this way even if you don't get the reference you're still like, "OH MY GAWD MEIKO HAS A CHAINSAW!!! Say, what's wrong with Rin's hand?"