I dont. The Catholics on the court will get their marching orders from the Vatican and Thomas will get his new boat.
They will just say that the kid is a resident of the state and as such the state has a compelling interest in knowing what is happening medically with the child even outside of state lines. Either that or they will argue that since bounty hunters aren’t state officials none of the rules really apply. Welcome to the new world where people can just stand outside hospitals and report every kid coming in just so they can shot gun it to bounty land