Hi, author of the post here.
Thank you for your feedback. The framework that you put down, of code reviews being of these 2 levels, is valid. The goal of this blog post, however, was to touch on the basic hygiene which makes the process more effective -- including both these two levels of review.
I would take a shot at writing a follow-up post to this, going deeper into the subjective aspects of peer code review. Thanks for reading!