Not sure how you think you’d fit it in. It would show a past temporary connection. For anything else, tip-wise, it would be up to you, personally, to prove out your own desirability and match.
It’s not hard to find that S considers legacy, "at least one parent or stepparent received an undergraduate and/or graduate degree from Stanford.” That’s the sort of digging you need to be able to do, about various points that matter to them, when they’re choosing a class.