You make the fatal flaw by introducing equal protection but not maintaining the purpose of avoiding divided loyalty. If it’s to be father and mother, it’s both/and not either/or.
Originally it was only the father.
Equal protection made it one or the other or both.
It was vattel that confused this by using the term “parents” then contradicting himself in the same paragraph.
We don’t need vattel...the answer is in common sense.
Have a nice day