I do agree that the musical chairs analogy is not a good one. Mainly, I think it is very offensive to refer to shidduchim as a “game of musical chairs”.
In addition, one’s decision about going to college should not be based on a fear that there will be no boys left for you because you will be considered second-class. Your decision should be based on what you feel Ratzon Hashem is. It is legitimate to consider whether or not the type of boy you would want to marry would want to go out with you, but that is very different from a fear of “being left without a chair.”