Last I was there, you couldn't take parental leave your first year. Sad.
I also remember that you couldn't get FMLA leave before a certain amount of time passed. Which is why I left, because stuff happened shortly after I was hired and they wouldn't bend the rules.
It's like when you get a privacy disclosure in the mail and it says "you can't limit the sharing of <some kind of information> because the law doesn't give you the right".
It's an excuse, not a reason.