"If they had gone to school just one day at Appy High, the would not have been eligible to play at PV."
Wrong. They could be eligible anywhere they wanted after sitting 365.

"I think that is one reason the Perry wants to move Appy's 8th graders to PVMS, so they would automatically be eligible for PV and not Norton."
Um... apples and oranges.
a.) 8th grade has nothing to do with it
b.) Norton isn't one of "his" (county) schools. Appy HS kid to Norton is the same as to Letcher... not a school in the Division.