I argue that empathy is very important for physicians and the lack of it is a deal breaker for applicants. How does your resilience improve your doctoring? I argue by being more sensitive to others' adversity and resilience.
To directly answer your question: I won't say it is an explicit goal that we all use to evaluate applicants, but how screeners and faculty interpret the prompt will vary widely. As someone who is sophisticated with reading essays (meaning, I read a ton of them every year since moving to an admissions role), it is worth thinking about when it comes to how you stand out in your approach to answering the prompt. Demonstrating your personal resilience is not wrong, but resonating in a manner that stands out may require more. (In other words, understand who is reading your essays, which is a much more difficult task if you don't do your homework connecting with schools before you apply.)