I see nothing in the Dead Period rule that would preclude Wilson Central from wrestling THEIR team in the Disney Duals, provided there are no Wilson Central coaches involved. Certain sports, i.e. football and basketball, specifically address and allow summer school verse school competition. In most other sports, wrestling included, the regulations pertaining to summer competition are silent, save coaching during the dead period. Baseball has a 50% rule pertaining to the school year (think fall ball), not summer.
I applaud Wilson Central for getting what appears to be 12 matches for their wrestlers during a time when most of the rest of us are sitting on our butts.