I agree - unless there is some reason he would be unfit or harmful for the child. You want your cake and eat it too in a sense - you want him to pay for the child, but not be in his life - not fair is it?
I would think a mother would want what is best for her baby. In most cases, it would be best for a child to know and have his/her dad as part of the child's life. Why wouldn't she want this for her child?