How does the Do No Publish flag in Senior Systems interact with the user information in Core?
If you navigate to Core > Settings > Integration settings > Senior Systems and mark the Sync Do Not Publish (DNP) Fields checkbox, all fields in Senior Systems will be pulled into Core, even if those fields are marked Do Not Publish. The data will have the privacy settings already set up for that field in Core, regardless of whether that field is marked Do No Publish in Senior Systems.
For example, if the Phone Number field is published to Teachers in the On products, and a user's phone number is imported from Senior Systems, that phone number will also be published to Teachers in the On products, regardless of the phone number's privacy settings in Senior Systems.
If you unmark the Sync Do Not Publish (DNP) Fields checkbox, then any data marked as DNP in Senior Systems will not be imported into Core.