Seems to have gotten worse with latest daily 10/3. Outlook 2013 still no automatic inbox refresh, and now getting "The operation failed." dialog box when trying to view calendar.
UPDATE: Problem was fixed by deleting the Outlook mail profile and unconfiguring/reconfiguring Openchange at the server. At that point mail and calendar seem to work, with events put in calendar via webmail showing in Outlook and vice versa (this didn't seem to work before latest update). Still no love on inbox autorefresh though, it seems.