This is what it does but you shouldn’t ever be opening those folders so you shouldn’t know they exist. If you want just the SVG to edit you should open the parts editor, go to the view you want to export and then go to the file menu and export as SVG. You can then import it after you make changes in the same way. No need to ever open the fritzing folders.
Yes in the parts bin area the first export is export the entire bin and the one near the bottom is export part. I am sure the translation is the source of this issue.