Although I have no actual experience with a 'Google Offer' I'd say that it'd be important to land on the project that you want to work on, that you're committed to and believe in.
Looking back at say Wave, I bet some developers thought that it'd be a winner, and even though it was awesome, the consumers didn't like it, even being loved by people such as ourselves. So I'd say, don't go for something because you think you'll be recognized for working on a project, do it because you want to do it.