Yes this is true it can fall on both.
We have two defining points in the continuum when it comes to satire and those are as stated Juvenalian and Horatian. They are based on the writings of two great Roman satirists Juvenal and Horace. Horace wrote with more amused understanding of truth and his is more wry amusement while Juvenal is more critical and wants to harshly criticize the issues.