The main issue is that the nasal tip is overly downward, narrow or pinched.
Downward and narrow can occur naturally, but pinched is mostly the result of prior rhinoplasty surgery.
In other cases pointiness is related to an over-projected, or long, tip.
Lastly, the combination of having thin skin and sharp bends (also called a bossa) in the tip cartilages can also create a pointed appearance.
In a case of pointy nose, nasal tip points downward, thus giving aged facial impression or making the face look long.
There are many cases of droopy looking tips when smiling and short looking thiltrum.
Pointy nose rhinoplasty will improves nose-lips angle and shorten the length of a nose in proportion to face ratio making classy and youthful impression.