Assuming the book is in a place where you wouldn't mind showing it to people in two weeks' time, it'd probably be worth sending it in just to see what happens.

Just because their motives are more about helping promote whatever book they end up acquiring via the 'sensational' fact of its author's youth doesn't mean that it isn't a good opportunity.

(Besides, and I say this with total sincerity, there's a good chance that what you submit will, in fact, be better/more interesting than what others do. Assuming the opportunity cost of finishing your draft in time isn't too great, there's no point in letting someone else win by default, is there?)