As these pictures of four four-week-old puppies show there is a huge variation in wirehaired dachshunds. Even in pups that young we can see it. These differences will be more visible with pups' age.
The above picture shows Oak whose coat is the longest of the litter. Next picture shows Ollie and Oak side by side. Oak (right) has more hair, especially on his face, ears, neck and legs.
Ollie and Oak
This picture shows Olive and Olana, and thier coats are as different as of their brothers. Olive (left) has much less coat and it is much shorter.