Maybe in your game she would. That's cool. But don't be the guy that will try and tell us that we are playing it wrong. Your definition of BADWRONGFUN holds no water here.
When you start a thread with a title like "my players are at it again" it implies a certain level of antics that you, as the GM, are unhappy with. If that's not the case, then fair enough, but it's difficult to read tone over the internet. Perhaps a more direct title like "What would this cost?" would eliminate the confusion.
That being said, I agree with all the posts to date that the generic algorithms for making magic items result in a cost that is too low. Rule #1 on custom magic item creation is to model it after an item with similar powers. The Ring of Three Wishes has a set value, set cost, and a fixed number of uses, but allows anyone to use it. A 3.33x multiplier of the ring value seems appropriate for the a staff with 10 charges, and the rechargeable value of the staff can be considered offset by the lack of class restrictions on a ring.