In the latest version of the Data Health Center some contact addresses are being moved to the organization's record. This occurs during the AddressFinder update and for both shared and unshared addresses. It has been documented specifically regarding Individual relationships on an Organization record.
We resolved this issue in version 7.91.5056, patch 4.
Download and install the latest patch, which contains all fixes from previous patches. If you are running an older version, download and install the latest version and then the patch.