It’s possible - but the thread is about no offers - should I be worried - so I’d presume running is the focus.
You’re not wrong in what you’re saying - but I’ve made the assumption in context of what OP has said - initially I want one of the Ivies, the non Ivy offer is not as desired.
Then Princeton and not running was introduced as superior.
My assumption may not be correct but it is certainly logical based on OPs own statements.