Agreed, even if the page says "WE NEVER POST WITHOUT YOUR PERMISSION", the twitter auth page says that it asks for authorization to do so.
I won't link my twitter account to an empty page on the internet that can tweet for me, read my timeline, update my profile (!) and follow new people (seriously?).
"One of the winners [of last year challenge] was a team of 6 who quit their jobs on Wall Street, are in dozens of cities, received millions in VC investment (at a multi-million dollar valuation), are profitable, and recently rang the closing bell on NASDAQ."
I think BigApps compares a little bit with the Google summer of code where you get pay to make something cool and if it's cool enough it turns into a job/business.
I won't link my twitter account to an empty page on the internet that can tweet for me, read my timeline, update my profile (!) and follow new people (seriously?).