I'm sure that they expect most people to write the essays in the time provided. That's why the include the citations and don't let people know about them ahead of time. I didn't see it anywhere in the rules, though.
If I do this, throughout the first year I'll write one essay every 1-2 months. I'll choose mostly generic topics that will probably have support from year to year. Freedom of Speech, Illegal Search and Seizure, Role of government in enforcing social equalization all sound like possible topics. I should have 3-6 essays by the end of the year if I did this. I might have even more if I have to write a bunch of practice essays for examinations.
Nothing that I write ahead of time will actually be useable as it is. What they will provide is a bunch of ideas on topics I know I could write about. I'd still have to re-write most of it to use the provided citations, but with luck the outline would stay intact.
If I'm unlucky, I end up with a bunch of essays, and some extra writing practice under my belt. I can still keep the essays around as starter ideas for student notes (presuming I make one of the publications) or for developing into academic papers in case I decide to try and get published.
I did read one rule that I'll have to be mindful of if I do this:
THE ESSAY THAT YOU HAND IN MUST BE THE PRODUCT OF YOUR EFFORTS
ALONE. It is a violation of the Honor Code to solicit or use advice on how to write your essay.
This includes help with structure, style, argument, or proofreading. It also includes reading essays
from previous years, except for the sample answers provided on the Texas Law Review write-on web
page. Under no circumstances may you discuss the contents of this packet with other students
participating in the Write-On Competition.
If I do this, I basically can't show these essays to anybody else.