Is it possible to get narrower/better looking nostrils from alar cinch?

From what I have seen most surgeons seem to do alar cinch to prevent the nostrils from getting wider than they were before the ujs/djs so I’m wondering if it is possible to get narrower or better looking nostrils from this procedure. I have seen people getting bigger nose after the surgery but never seen any getting smaller nose. My nostrils already look flat and wide. At the very least I don’t want my nose to look worse but it would be great if my nose can also look better along with my jaws.