I want to give a huge shout-out to a large series of research that has been conducted by the American Institute of Research funded by the Hewlett Foundation. Hewlett has supported a move toward deeper learning for a long time, but this series of research has really advanced the discussion in a meaningful way. A recently updated summary of the findings is a useful place to start. Also, a recently updated research publication looks at college enrollment and persistence, finding that students in deeper learning network schools were more likely to enroll in college but persisted in college at similar rates to all students.
The story painted by this research is not the silver bullet by any means, but it shows solid and likely somewhat better results for the deeper learning schools. Minimally, it shows that students in a deeper learning school focused on PBL, mastery, life skill development, etc are not harmed by being in those schools against being enrolled in a traditional school.
I encourage you read the entire effort. It is really enlightening.
And, just for fun, a few year old video from Hewlett on the "why" of deeper learning. All of the deeper learning video series at The Teaching Channel is worth a view, of course.