This article heavily relies on the assumption that schools do not allow for other learning modalities than passively consuming information, which is false.
I wouldn't disagree that school isn't a place for being productive, if productivity is defined as "making something people want." By that definition all learning is unproductive.
[2] For maths, reference the works of Jo Boaler, Peter Liljedahl, etc.; most standards I have seen in social studies in recent years have inquiry as a key component, and I know several teachers who make use of projects there; there is often agency in choosing projects in art, particularly in upper grades; and so on.