In Metal L&F, rearranging columns in a detailed list of FileChooser exchanges not only the places of two cells but also their attributes.
For instance, in Metal L&F FileChooser, Name field is left-aligned and Size is right-aligned. If I drag Name field and drop it between Name field and Type field, Name field becomes right-aligned and Size left-aligned.

Due to 4501171, I can't confirm Windows L&F FileChooser's behavior but it must have same problem.
Motif L&F FileChooser doesn't have this problem because it doesn't have a detalied list.