Strategy-proofness and strategy sets: residency fraud in school choice

When we speak of strategy-proofness in the context of school choice, we are most often speaking about whether it is safe for parents to reveal their true preferences when asked to submit a rank ordering of possible school assignments. Of course, parents have other private information as well, and they may have incentives to misprepresent that also.

I'm reminded of this by the fact that the San Francisco Unified School District has recently sent a letter to the address of record to each student regarding an Amnesty Period for Residency Fraud.
(It includes the line "This letter is directed to families that have committed residency fraud. Parents/Guardians who have never submitted false residency information to the District may disregard this letter.")