Marketpress question: Is there a problem/future issue to not update an order status to "Shipped

A client would like to spend the least amount of time on store/order management. All orders are for pickup only and no order status will need to be communicated to the customers (no shipping, payment, or any other updates). Customer places the order, receives the email confirmation automatically, end of order processing. Is it problematic to not update the orders to "Closed"? In other words, can he just forgo updating the order status at all? Any lost benefit to doing so? Thanks