I want to precede this by saying that all three of these candidates are exceptional individuals and among the best I've had the pleasure of knowing in my time here on Smogon. They would each make superb CAPs with their own unique twists and tweaks, and that is exactly what makes this decision so difficult for me. That said, let's get to my votes.
Wyverii
First and foremost, I consider myself a Pokemon battler. Because of this, I find that Pokemon battling is perhaps the most important quality to have in someone leading a Pokemon project. That said, you may be wondering why I would vote for Wyverii. Wyverii gets my first vote despite not being a serious battler because I've worked with her and I know her as a leader. We have a lot of very competent veteran battlers in this project, and I trust them to not lead Wyverii astray as she deliberates over their concerns for the CAP.
Secondly, after battling, I consider creativity to be paramount for a CAP. One of the most exciting things about a CAP is finding new ways to do old things and creating something exciting that we, as a community, can learn from and cherish. That cannot be done without creativity. Wyverii is, without a doubt, one of the most creative individuals on this site. Her artistic experience lends itself to this quality, and I think that it will reflect positively on the CAP that she leads the creation of. For these reasons, and particularly for her unique outlook on things and ability to see critical and yet minute details that the rest of us overlook, I think Wyverii is the strongest choice of the three candidates.
reachzero
Like I said, battling experience is critical to the success of a CAP. And who better a battler is there in our midst than reachzero? He is not only a phenomenal battler, but a spectacular role model for others with his collected persona and overflowing wisdom. I know that he would lead a competitive CAP project with competitive notions at the forefront and with a level of reasoning that the users would respect. These qualities lend themselves to be exactly what we want, the seasoned veteran TL. I refuse to compare him directly to Wyverii or Deck, though, as they're all great choices for their own reasons. However, I do feel that the creativity and careful attention to detail that I know Wyverii for will be pivotal in keeping CAP 1 on track during the first CAP of the new generation. I know that reachzero, even if not the TL, will be there to provide her with unsurpassed knowledge of the metagame and justifications for his suggestions.
Deck Knight
Deck Knight's experience in CAP is unparalleled, even in the face of all of these other candidates. If there is anything that exists to be known about this project, its inner workings, and how to win in a poll, Deck knows it and would be happy to share it with you. I think that his knowledge would absolutely create a splendid CAP, and I hope one day that he does lead a CAP for us. I don't think that CAP should be this one, though. His submissions have always proved irreplaceable in the process, and provide us all with enlightenment on 'how to do it right'. I think these qualities will benefit CAP 1 more when said from the sidelines with the combined insight of the TL than anything. For this reason, I chose to vote Deck where I did in spite of his overabundance of CAP expertise. Another day, my good friend.
I wish all of the contestants good luck in the poll! Even though I voted as I did, I would be enthralled to have any of you as our first BW TL. I'll be behind you all the way.