Paternity leave should be available for all fathers to the exact same extent that maternity leave is available for all mothers based on an equal right to parenting time.
Hogwash. There is no medical recovery required for a man whose wife has a baby. She should be allowed a reasonable recovery period, the same as she would be if she suffered an injury. Then she can use her accrued vacation time or sick leave if she needs more.
He, on the other hand, can use vacation time right away or just stay on the job.