Chrome still showing red https logo even after adding the certificate to trusted root authorities store (Internal-use self-signed SSL Cert)
I think Mr. Leahy's suggestion to use a name with DNS-like qualification would work. Here's Chromium patch information related to the error:
http://groups.google.com/a/chromium.org/group/chromium-checkins/msg/9fe59a981479aa44?pli=1 (r62178)
If the host name denotes an "intranet host", which in the code means one with either no dot in the name or a dot at the end, then it is considered non-unique, and you get the warning. After quickly looking through other patches involving the warning, I didn't find a way to tell Chrome to relax about the warning.