The California Supreme Court just heard arguments on just this type of issue.
There will be many many such cases in the future as the nuclear family is under assault from all sides, all so they can be considered or granted 'normal' status in society.
Who has more standing when a couple divorces, and what of the child then?
Obviously biology, i.e. the genetic contribution of the parents, has no standing anymore.
It is not a birth certificate, it is a birth statement.
The court has entered never-neverland on this ruling. I hope this ruling is subject to review.