There isn't really an advantage when it comes to annual fund benefits. If @Triple B wanted to reap the benefits he receives with giving to the annual fund, then it would behoove him to maintain provide gifts toward that.
Your 4 points are very well stated.
Now, if an Endowment is created and that total of that and all lifetime giving to Athletics exceed $1 million, then the donor would be a Bulls Club Legend and receive every benefit provided in annual giving and some other benefits as well.