I have the feeling that CodedColor is not displaying all existing EXIF fields. Is this possible?
Unfortunately some Image Programs devise non-standardized EXIF-fields and insert these into the image files. Naturally, these cannot be read by other programs, and are thus lost when files are saved by these programs. CodedColor does not modify the EXIF data when saving images in the Image Editor, so these fields remain as is. If in doubt, deselect the Save Exif Changes option in Program Settings > Image Editor.