A chain certificate (Or chain list) is only alink between the site certificate being presented, and a trusted certificate in your browser... Presenting the same cert as site and chain simply means nothing more than just presenting the cert itself. You still don't have a chain of trust to follow.
To have a SS cert trusted, you have to install the SS cert into the CA cert list of a browser. WHich is a pain if you have a lot of them. Other options are to generate a local CA cert and install that as a CA cert in your browsers, and then use that to sign the certs you're generating... But that means you have to run a CA repository... And that means extra security, management etc...
YMMV whether it's worth it or not.
H
Cirrocumulus