In Siebel, Integration Component Fields with Field Type property as "System" are not exported even if these fields are active during a query operation.
This is the expected behavior. This setting prevents the EAI Siebel Adapter from treating the field as a data field, which means for the Query and QueryPage method the EAI Siebel Adapter do not write to the fields.
If such fields are required in an exported message, you can change the Integration Component Field Type property value to 'Data' from 'System'.
Compile the Repository after making the above changes to Integration Object.