In this image you will see another system i use has customized the paypal notification to include their order number and client email. This is very effective for quick response.
Your Gift Card notification payments just say "Notification of Payment" which doesnt let us know if we have to do anything or not. Physical Gift card notification would mean we should act immediately. E Gift Card notification would allow us to ignore as the system should have sent the gift card for us.
"Physical Gift Card - Notification of Payment" vs "E-Gift card Notification of Payment"