Periwinkle.
Your entire argument is based upon the assumed fact that athletes cheat more than regular students. Perhaps your assumption is caused by the fact that news accounts of cheating by athletes gets press coverage, while cheating by regular students doesn’t seem so news worthy. It’s sensational when a story can be shoe horned to fit a narrative. At UNC, the majority of those who took the non-classes were regular students and I believe the same was true at Harvard; the service academy cheating scandals didnt focus on athletes (should we disband the service academies?).
Do have any studies which support your hypothesis?
I believe that the SAT had to cancel scores from entire international countries due to cheating. Exactly how did athletics fit into that? Perhaps we should simply ban students from those countries?
Cheating is an issue throughout society, throughout high school, throughout college. How would disbanding athletics solve that problem?