Why is it called Natzweiler camp instead of Struthof or Natzwiller?

Natzweiler is what the Nazis called the camp during the war: Konzentrationslager Natzweiler (abbreviated as KL-Na). It was built near the place-name of Struthof (which already had that name during the war) and the Alsatian village of Natzwiller. In France the term “Struthof camp” is often used, whereas abroad it is better known as “Natzweiler-Struthof”. Neither term is really correct; only Natzweiler is historically justified.