It doesn't yet, unfortunately. There's a related feature request for syncing user added certificates:

https://bugzilla.mozilla.org/show_bug.cgi?id=583935

But syncing which certificates to delete is probably a much harder sell.

At least there's a way to do programmatically:

    apt-get install libnss3-tools
    certutil -d /home/$USER/.mozilla/firefox/$FIREFOX_PROFILE -D -n $TARGET_CA_NAME