The projection, of the nasal tip, can be decreased uaing several methods. Which one is best depends on what else is to be done, to the tip, during the Rhinoplasty. Yes, in each case, the nasal tip cartilage must be reduced either along the Columella or at the tip cartilage "high ponits" in order to decrease the tip projection.
The nostrils change the least using the Columellar shortening technique while the open Rhinoplasty with tip cartilage reduction allows the ability to change (making more narrow and symmetric) the nostrils to a greater extent. IMHO, the Columellar shortening works best when minimal tip thinning is desired, while the Open Rhinoplasty and tip reduction works best with a wide/asymmetric or previously operated scenario. Hope this helps.