Let’s look at this in reverse. What if you put “no” on the application, then find out later you can afford it, were you lying on the application? Certainly not. Financial aid varies widely from school to school. One school could be stingy, while another one could be generous. Net price calculators aren’t always accurate.
Let’s say that you indicated “yes” because your parents saved for college. Do you want other students getting mad at you because they can see you don’t drive a Mercedes or have a big house.
The point is, other people’s finances aren’t your concern; any more than your finances are other people’s concern. Selective schools always keep a large waitlist, because they know how high their tuition is. Even affluent people don’t usually have $300k lying around for a bachelors degree.