If they ask for it, then you have to provide it. They can refuse you for failing to provide information.
There are limited circumstances where partner's bank statements could be relevant for deciding a Jobseekers Benefit claim, for example, where they wanted to make sure that the person was not engaging in self-employment and having payments made into their partner's account.
More likely is that they are just asking for the details to tick the boxes on the form. She should ask them why they need the info, and explain that the income is too much for an increase to be paid, it may be that they say that its not necessary. What she shouldn't do is simply fail to provide the information because she doesn't think its necessary and get indignant about it, that's a sure way of having her payment refused, or at the very least, delayed.