Even so https://bugs.launchpad.net/ubuntu/+source/openjdk-6/+bug/939419/comments/2 claims that the bug was fixed, it was not. It still exists as before.

root@kyle:/tmp# dpkg -i openjdk-6-jre_6b24-1.11.1-2ubuntu2_amd64.deb openjdk-6-jre_6b24-1.11.1-2ubuntu2_i386.deb icedtea-6-jre-cacao_6b24-1.11.1-2ubuntu2_amd64.deb icedtea-6-jre-cacao_6b24-1.11.1-2ubuntu2_i386.deb icedtea-6-jre-jamvm_6b24-1.11.1-2ubuntu2_amd64.deb icedtea-6-jre-jamvm_6b24-1.11.1-2ubuntu2_i386.deb openjdk-6-jre-headless_6b24-1.11.1-2ubuntu2_amd64.deb openjdk-6-jre-headless_6b24-1.11.1-2ubuntu2_i386.deb
(Reading database ... 210276 files and directories currently installed.)
Preparing to replace openjdk-6-jre 6b24-1.11.1-2ubuntu2 (using openjdk-6-jre_6b24-1.11.1-2ubuntu2_amd64.deb) ...
Unpacking replacement openjdk-6-jre ...
Preparing to replace openjdk-6-jre:i386 6b24-1.11.1-2ubuntu2 (using openjdk-6-jre_6b24-1.11.1-2ubuntu2_i386.deb) ...
Unpacking replacement openjdk-6-jre:i386 ...
Preparing to replace icedtea-6-jre-cacao 6b24-1.11.1-2ubuntu2 (using icedtea-6-jre-cacao_6b24-1.11.1-2ubuntu2_amd64.deb) ...
Unpacking replacement icedtea-6-jre-cacao ...
Preparing to replace icedtea-6-jre-cacao:i386 6b24-1.11.1-2ubuntu2 (using icedtea-6-jre-cacao_6b24-1.11.1-2ubuntu2_i386.deb) ...
Unpacking replacement icedtea-6-jre-cacao:i386 ...
Preparing to replace icedtea-6-jre-jamvm 6b24-1.11.1-2ubuntu2 (using icedtea-6-jre-jamvm_6b24-1.11.1-2ubuntu2_amd64.deb) ...
Unpacking replacement icedtea-6-jre-jamvm ...
Preparing to replace icedtea-6-jre-jamvm:i386 6b24-1.11.1-2ubuntu2 (using icedtea-6-jre-jamvm_6b24-1.11.1-2ubuntu2_i386.deb) ...
Unpacking replacement icedtea-6-jre-jamvm:i386 ...
Preparing to replace openjdk-6-jre-headless 6b24-1.11.1-2ubuntu2 (using openjdk-6-jre-headless_6b24-1.11.1-2ubuntu2_amd64.deb) ...
Unpacking replacement openjdk-6-jre-headless ...
Preparing to replace openjdk-6-jre-headless:i386 6b24-1.11.1-2ubuntu1 (using openjdk-6-jre-headless_6b24-1.11.1-2ubuntu2_i386.deb) ...
Unpacking replacement openjdk-6-jre-headless:i386 ...
dpkg: error processing openjdk-6-jre-headless_6b24-1.11.1-2ubuntu2_i386.deb (--install):
 conffile './etc/java-6-openjdk/security/nss.cfg' is not in sync with other instances of the same package
dpkg-deb: error: subprocess paste was killed by signal (Broken pipe)
dpkg: dependency problems prevent configuration of openjdk-6-jre:i386:
 openjdk-6-jre:i386 depends on openjdk-6-jre-headless (>= 6b24-1.11.1-2ubuntu2); however:
  Version of openjdk-6-jre-headless:i386 on system is 6b24-1.11.1-2ubuntu1.
dpkg: error processing openjdk-6-jre:i386 (--install):
 dependency problems - leaving unconfigured
dpkg: dependency problems prevent configuration of icedtea-6-jre-cacao:i386:
 icedtea-6-jre-cacao:i386 depends on openjdk-6-jre-headless (= 6b24-1.11.1-2ubuntu2); however:
  Version of openjdk-6-jre-headless:i386 on system is 6b24-1.11.1-2ubuntu1.
dpkg: error processing icedtea-6-jre-cacao:i386 (--install):
 dependency problems - leaving unconfigured
dpkg: dependency problems prevent configuration of icedtea-6-jre-jamvm:i386:
 icedtea-6-jre-jamvm:i386 depends on openjdk-6-jre-headless (= 6b24-1.11.1-2ubuntu2); however:
  Version of openjdk-6-jre-headless:i386 on system is 6b24-1.11.1-2ubuntu1.
dpkg: error processing icedtea-6-jre-jamvm:i386 (--install):
 dependency problems - leaving unconfigured
dpkg: error processing openjdk-6-jre-headless (--install):
 openjdk-6-jre-headless:amd64 6b24-1.11.1-2ubuntu2 cannot be configured because openjdk-6-jre-headless:i386 is in a different version (6b24-1.11.1-2ubuntu1)
dpkg: dependency problems prevent configuration of openjdk-6-jre:
 openjdk-6-jre depends on openjdk-6-jre-headless (>= 6b24-1.11.1-2ubuntu2); however:
  Package openjdk-6-jre-headless is not configured yet.
dpkg: error processing openjdk-6-jre (--install):
 dependency problems - leaving unconfigured
dpkg: dependency problems prevent configuration of icedtea-6-jre-cacao:
 icedtea-6-jre-cacao depends on openjdk-6-jre-headless (= 6b24-1.11.1-2ubuntu2); however:
  Package openjdk-6-jre-headless is not configured yet.
dpkg: error processing icedtea-6-jre-cacao (--install):
 dependency problems - leaving unconfigured
dpkg: dependency problems prevent configuration of icedtea-6-jre-jamvm:
 icedtea-6-jre-jamvm depends on openjdk-6-jre-headless (= 6b24-1.11.1-2ubuntu2); however:
  Package openjdk-6-jre-headless is not configured yet.
dpkg: error processing icedtea-6-jre-jamvm (--install):
 dependency problems - leaving unconfigured
Processing triggers for gnome-menus ...
Processing triggers for bamfdaemon ...
Rebuilding /usr/share/applications/bamf.index...
Processing triggers for desktop-file-utils ...
Processing triggers for hicolor-icon-theme ...
Errors were encountered while processing:
 openjdk-6-jre-headless_6b24-1.11.1-2ubuntu2_i386.deb
 openjdk-6-jre:i386
 icedtea-6-jre-cacao:i386
 icedtea-6-jre-jamvm:i386
 openjdk-6-jre-headless
 openjdk-6-jre
 icedtea-6-jre-cacao
 icedtea-6-jre-jamvm
root@kyle:/tmp#