School zoning is a pretty insanely high-stakes thing, and other parents will absolutely rat them out and provide evidence. Parents have been jailed for using an address they don't live at - https://abcnews.go.com/US/ohio-mom-jailed-sending-kids-schoo...
Sure, that's when you're publicly defrauding a school, and other parents know that you don't really live there. It would be much easier to game this system since you are only reporting your address to the College Board, and no other students/parents would have reason to know that you're not reporting valid information.
