Not to speak for KSU, but I *think* what she means is that there are different levels of "wanting." A chapter might want Awesome Alex, but want the other 99 women on their Bid List more. Even though Awesome Alex puts them first, they fill before getting to her so she matches with the other chapter who has her on their first Bid List. If that's not what KSU meant, then it's just me saying that!
But, yes, in the scenario you put out where Awesome Alex is on the first bid list of both chapters, then Awesome Alex is picking from the chapters that want her.
