Oblique exercises more so help develop and strengthen the muscles along the sides of your torso, improving your ability to do things like maintain balance or rotate comfortably. Strengthening them can help complement your preferred style of working out, be that cardio, weight lifting, HIIT, Pilates, whatever.
But doing 10-minute oblique workouts alone won't really guarantee body composition or mass-based changes to waist size. That said, many people still find them useful, especially as an add-on after a cardio or strength session.