I mean moving out of a parents' house is something the majority of people experience so it is extremely weak in that regard. Additionally, I do not think mentioning anything related to academics in that prompt is good because it shows you did not read the directions ("Discuss a time in your life in which you have failed at something other than an academic experience. How did you confront the failure and what did you learn from it? Please describe how you typically approach challenges that you face in your life.").
For example, saying moving out impacted your grades, then you recovered by moving out which then helped your grades, is talking about an academic experience because part of the failure is academic, your grades being impacted.
That being said, it is just ONE VERY SMALL part of the application, you could be amazing in other areas so do not worry about it. Hopefully they read just into the "how I recovered, and what I learned" parts of it!