You should absolutely do the homework after you watch the Interact Lesson. For example, the LSAT Interact Syllabus "Due for Session 2" has you completing the reading for LR and LG after watching Session 1. The homework in "Due for Session 2" corresponds with Basic Ordering in LG and the Argument Core in LR as covered in Session 1.
"Due for Session 2 READ THIS. Notes on how to use your HW sheet: Do the HW before the session. Always start with the Short, then move to the Tall, and, if you are the Rambo of LSAT prep, do the Grande at the end."