Normally, the fck editor saves images in this format:
src="${link:{uuid:

,repository:

,handle:

,nodeData:{},extension:

}}"

If the folder name contains a special character like öäü (e.g. Jubiläum), the image is saved differently:
src="/dms/TESTING/Jubiläum/Satellite_image_of_Iceland_in_September.jpg"

In the second case, the moving of the image will cause the link to break, as there is no UUID stored to resolve the new location.

I assume there is a problem in the DMS to resolve folder content with special characters. So this might sctually be a DMS problem or have to do with such one.