It used to be that when I uploaded a list of contacts to Qualtrics, it would not integrate with the directory. This allowed me to export lists from Qualtrics, with only the embedded data that I uploaded. I don't want the other embedded data fields, only what I uploaded to the contact list. Also, this becomes an issue when adding an embedded data section to the survey flow, as it's adding everything for that contact, even if it's outside of the contact list.

You should be able to specify by simply selecting that on the drop down: !

How to export list with select embedded data

How to export list with select embedded data | Experience Community