Although the author does not specify this, it certainly comes across in their language that they are implying that a traditional teacher talks at their students. This is what lecture is often used to refer to. Of course, explicit instruction is not about "passive lectures", but rather about engaging students to think hard about a series of ideas, with lots of teacher questioning and interactive elements.
Not wanting to get too much into the homework debate, it is completely possible for "progressive" educators to set loads of homework. Particularly in a project based system, there can be a lot of pressure on kids to finish their projects at home. In this case, you could argue that a traditional approach is more equitable, as all students have the same resources (they attended the same class) as opposed to a project based approach that leaves each student with different things they take from class, and home life playing a much bigger role in what can be produced.