Hmm....my scenario is yet again different after reading this thread. I started AADSAS in may when it came out. Due to school grades and stuff not being in until end of may.......I e-submitted June 16th. I also sent stuff like checks/pics and things that schools wanted as soon as I submitted AADSAS. Yatta yatta yatta....fast forward to July 24th, which is when I received the UCSF supplemental application. However, there is no way they could have had my DAT scores.......b/c I took the DAT July 29th!! Anyway, as of 2nd week August, schools are just starting to say complete........probably due to getting my real printout from test day.
Anyway, on the supplemental essays, I used it as a chance to elaborate even more than in my PS, and really go in depth. Like they said, try not to repeat stuff from AADSAS. Use it as a chance ot add more.