Did they seriously give up on implementing a public roll system and say "screw it, if people are fighting over chests we'll just remove them completely"?
I just ran three dungeons post-patch and there was not one single chest in any of them. We even hung around the first two a bit looking. The third (Crucible) we didn't get to finish as right before the last boss the server rolled us back to Reaper's March and reset all our progress, but there were none up to that point either.
What gives ZOS? Was this the intended stop-gap fix until you can work out a proper public roll system?