as long as the father is the genetic father of the baby.
That’s interesting. Why would that be? I don’t see why the identity of the genetic father would make a difference <>(provided he wasn’t a Kohen, Levi or non-Jewish [and I’m not even certain about that last one]).
That was my meaning. If is makes a difference whether or not the father is a Cohen or Levi, then wouldn’t it be a determining factor when deciding if there should be a pidyon haben or not? (The non-Jewish genetic father I have no clue about.)