Service Design Center uses a change management process to track and approve all changes to any product. All of these changes, including additions, edits, and deletions, must go through the promote-approve-deploy process before they become available.
Any changes you make (change a name, change a price, add or delete a product from a bundle, etc.) to any product do not affect any users that already have the product.
To make sure you have entered the SDP Product ID value correctly, you should test purchase of the value-added service product in the sandbox before you promote, approve, and deploy the value-added service product.