Thank you for the opportunity to answer your question. I am sending this answer to you only a few minutes after you submitted your question.
Basically, when a child is born, unless both parents acknowledge paternity
, a man has no rights or responsibilities to a child. Therefore, if a mother
declines to acknowledge paternity, the father would have to file a paternity action and, because the man isn't the child's father, he would have no entitlement to visitation. He would also have no duty to support the child. If you were to voluntarily acknowledge paternity, you would probably want to pursue a custody order because, until such an order exists, the mother and the father have equal rights. In the process, a court would establish visitation for the other parent.
Refusing to work with a parent for visitation purposes prior to a court order could potentially affect a court's view of a situation, though it often doesn't. A parent generally has no legal obligation to provide another parent with visitation unless there's a court order and failing to do so may have little effect on the outcome of such matters. If a judge believes that interference with the relationship between the child and the other parent will be ongoing, that will be more likely to affect the outcome of the order. However, if there are other reasons (for instance, fear that a child won't be returned, etc.), the impact may often be minimal or nonexistent.