What a silly rule. Impossible to enforce. It doesn't say you can't record, it states that you can't record "with the purpose of reviewing"...

So I can record all that I want, I just can't watch it.

KSHSAA Wrestling Manual 2013-2014 (page 13)
1.M Filming or Video Taping Matches
Any filming or video taping for the purpose of review during competition is prohibited.