Same problem as many other users - I think I have Easyblog Email Publishing all configured but it will not import the emails. Read through many other tickets but never saw one that worked for me.
Sometimes the cron job returns
"email_import":{"status":200,"type":"info","message":"No emails found in mailbox. Skipping this."}
and right now is returning
"email_import":{"status":"","type":"","message":""}
The connection works. The email account has unread messages.
Joomla 3.9.0, Easyblog 5.2.9