Yes.. that's how it works. You go in, prints are done, you get a receipt, go home, submit your intent to the local paper, wait the 10 days and then send in your paperwork once you receive the letter from the paper. Include that and a copy of the fingerprinting receipt in your application documents and file them in the Sussex Proprietary's office. Your fingerprints are not sent to you nor do you receive anything from from them directly. They are sent directly to the Sussex Proprietary's office.
This is one reason why you need to submit to the Proprietary's office of your country. It's a process. A GOVERNMENT process at that! why would you think it would sound right? Of course it doesn't.. its Government. Just follow the process. Don't question it. This is how ever other CCDW permit in Delaware has been processed for over 100 years now with very few changes.