Have seen a few similar questions here but as far as I recall they weren't returned. From a practical standpoint, I don't think they'll return an application only to ask you to write the name and DOB and return. I could be wrong but I doubt they'll return the app.
As long it has the studio stamp and the photos are the correct dimension, it should likely be ok. Worst case, these days you get the application back really quick and they let you just fix the issue on the same document without having to reprint anything new.