Their jaw may not be large enough for them, and they may become impacted.
Their wisdom teeth may come in at an awkward angle, with the top of the tooth facing forward, backward, or to either side.
Their wisdom teeth may break partway through your gums, causing a flap of gum tissue to grow over them, under which food and germs can get trapped under the flap and cause your gums to become red, swollen, and painful.
They may want their face to appear thinner, thus removal of the four unnecessary outside teeth.