In the comics, the walkers do evolve. They become more dangerous and develop new traits as the story progresses. This adds an extra layer of threat and keeps the plot interesting.
The White Walkers were a race of ice creatures in the world of 'Game of Thrones'. They were created by the Children of the Forest as a weapon against the First Men. They had blue eyes and could raise the dead. They were extremely powerful and cold, bringing a long winter wherever they went. Their leader was the Night King. They were a major threat to all living things south of the Wall.
The White Walkers were created by the Children of the Forest. Long ago, the First Men were encroaching on the lands of the Children. In an attempt to defend themselves, the Children of the Forest created the White Walkers using dark magic. They were made from captured humans and given powers over ice and cold. However, the White Walkers soon got out of control and became a great threat not only to the First Men but also to the Children of the Forest themselves.
Sure. In the comic books, the walkers do evolve. They become more aggressive, adapt to certain situations, and sometimes even show different physical traits.
Typically, in a 'the walkers twilight fanfiction', we might see the protagonists from 'The Walkers' being thrust into the Twilight world. So, it could be characters like Rick or Michonne. Alongside them, the Twilight characters would also play significant roles. Bella might be involved in some sort of encounter with the Walkers, and Edward could be using his vampire abilities to deal with the new threat or situation that the Walkers bring to the Twilight universe.
There could be. Fanfiction often involves unique crossovers and creative interpretations. Since Naruto has a rich world of its own and the concept of the White Walkers is also quite interesting, it's possible that some fans have been inspired to write a story where Naruto is somehow related to being the 'king of whit walkers'. However, it also depends on how many fans are into both Naruto and the idea of incorporating the White Walker concept into it.
One possible fanfiction could be about a group of survivors who are captured by the White Walkers. They might be used as some sort of bait to draw out other humans. For example, the White Walkers could leave a trail of the captured ones, leading the Night's Watch or other northern forces into a trap.