Actually, you clearly misunderstand. There were 450,000 members in the OSU Alumni Association when the new model was implemented. Most were lifetime members who took advantage of the discount offer at graduation. They did not disappear. There are now more than 500,000, so possibly 50,000 new basic members max.
I don't think you are posting as a troll or a blind homer.
That said, I think we move forward if you clarify the point you wish to make and consider another point first.
First, the other point. Ohio State, unlike Alabama, has not traditionally pulled scholarship offers from players. What is it in the SEC, especially with Saban, about 10% of each class? So, even if we accept that the small amount spent on academic is going to scholarships (and not things like tutors), isn't it possible that more money might be going into scholarships for players cut from the team, as Alabama repeatedly recruits over the limit far more than Ohio State?
Second, isn't it more realistic to argue that people donating to the Athletics Department are more likely to contribute also to academic departments? Those correlated donations apparently would not be reflected in the documents you linked (which I have not really read).