No it's not common sense, it's your opinion and it's impossible to prove. Therefore it's beyond stupid. While I do believe many teams cheat, there is no way to brand EVERY team that invests heavily into FB and BB as cheaters. Since you are so certain, let's put it to the test. The burden of proof is on you to prove this statement: "All colleges that invest heavily in major college football and basketball are cheating." It's got nothing to do with common sense. If what you say is true then there should be no problem providing proof. If you cannot provide that proof then your argument fails badly.
Sorry but I have zero sympathy for these scholarship athletes. They get a free education that in many cases run upwards of 50k+. Consider Alabama. Let's say an athlete stays 3 years and gets a full athletic scholarship. Now if your a resident of the state, the per semester bill would be about 12k, which equals about 24k a year. So for 3 years that's 72k. Now add on unlimited free food, stipends, pell grants, state grants, student loans and cheating money I would say they are doing just fine. For an out of state athlete it's even more. 20k per semester, 120k for a 3 year athlete. Sorry but the athlete on scholarship is no better than the poor student who has to work a couple of jobs along with a full load of classes. I had to work a full time job in college, while taking at least 15 credit hours. While I saw football players barely go to class, have people take their tests for them and be handed grades just because they played a game. You can take your sanctimonious attitude and shove it pal.