Once an order has been refunded as shown in the screenshot below, this information is then displayed on the customer account page to ensure your customers know at a glance :

Below is an example of the over view of a refunded order on the default Shopify customer account page. You'll see that it shows the 'Payment Status' as 'Refunded':

 

When using the Customer Accounts Hub app, this 'Payment Status' is updated and shown as the below:

 

By default, the Shopify customer account page also displays the 'Refunded' status at the bottom of the order details page:

 

When using the Customer Accounts Hub app, you'll see the 'Refunded' status at the top of the page along with the amount refunded:

 

FAQ:

Question: Once an order has been refunded/cancelled, we'd prefer the order wasn't displayed on the customer account page, is this possible?

Answer: No, this isn't possible. Once an order has been created it will continue to be displayed on the customer account page, only the status of an order can be updated.