So, as a result of Brexit, a family member is applying for an EU27 passport on the basis that her parents were born in a mainland European country. Both parents were born there, later both taking British nationality.
In order to secure the passport, my family member has to have searches performed in the national archive to prove that her mother was born in that country. Only her mother. Not her father - the father's heritage was irrelevant.
What would Scout's baby do in that circumstance, with no mother? How would Scout's application fare? I think, not well. At best, more complex and more stressful. At worst: impossible to do.
There's a concrete example of why it's important that birth certificates are factual. You have to ask yourself: does this action I'm taking benefit the child? And if the answer is no, then the decision to do so is evidently done in self-interest, not the child's interest.