When objects that are visible in either Edit or View mode exist off the page, they should still show up in View mode, but should NOT be included in exports. Often, these are selectors or combo boxes so see also the feature request about that.

I.e., on the page - include it all in export. Off the page, do not include it.

Feature:

Individual object settings (if any; see the related feature request about controlling the exporting of combo and list boxes) should probably override this.