That is expected, as Eddie doesn't do anything to alter DNS (mode is None). You've pasted the system report now, but it's impossible to troubleshoot DNS problems this way because Eddie doesn't touch DNS. Sorry for the hither and thither, but please (first, close and reopen Eddie to clear the logs, then) reset DNS switch mode to Automatic and paste another system report after connection (verify that both ISP DNS and AirDNS servers are shown with IPLeak for example).
Yeah, this window area should probably have a privacy switch included which hides possibly identifying information like usernames and v6 UGAs. It is made with professional support in mind, though, so I can understand its absence.