As a current state (ShipStation Help link), the BigCommerce to ShipStation integration does not identify gift orders. The gift message from BigCommerce do appear as a customer note on ShipStation via the integration but the Gift flag isn't set. Further, BigCommerce supports gift wrapping (BigCommerce link) individual products natively and unfortunately we are unable to utilize this feature of BigCommerce as we do not have a way to identify the information utilizing the ShipStation platform. As an enterprise customer, the limitations should be lifted soon so that we can better serve consumers within ShipStation.
Any chance we can get some attention on this @Moderator-Davis ?