I've seen others 5 years back with this question and no solution posted.
I have Content Organizer enabled and rules working to move an item from Drop Off Library to the correct destination library providing I complete the last of the mandatory fields/columns for the given content type using a standard SharePoint form. The message is clear and re-assuring that if you click Submit, and if the rules are correct, then the item will transfer and a URL will be posted on a confirmation page. When using Nintex responsive forms is there a way to kick off the content organizer? I've heard said, and will test, that if the conditions are met the timed daily process will move the document but overnight delivery isn't going to fly.