CSV importer doesn't add comments unless permission is given to "Anyone"

When importing from CSV file, comments are not added unless you give anonymous permission to add comments.
You get the following error message in the logs:

WARN [atlassian.jira.external.ExternalUtils] Anonymous users do not have permission to comment on an issue in project: <project>

Add "Group (Anyone)" to "Add Comment" permission during import to get around this issue.