We've made a few enhancements to make it easier to change the customer associated with a listing or order.
First, on the Edit Order page the 'Remove customer' action has been replaced with 'Replace customer', to ensure that orders always have an associated customer. When replacing a customer, you'll have the option to select any of that customer's Customer Teams. If the chosen Customer Team has a billing customer assigned, that billing customer will be shown on the order page as well:
Replacing a customer on the order page will also update the customer associated with the order's linked listing, and in turn update the download settings of the listing to reflect those of the new customer.
You can also replace the customer associated with the order via the listing page, by adding a new customer to a listing and then removing the old customer. When you do this, you'll see the option to reassign that listing's orders to the new customer: