A tournament won't work because the PvPers in this game don't like to actually play in teams. They begged for light party feast to have the same rewards in 3.3 or so, and when SE did it, no one bothered to do light party feast. This is despite LP actually solving a lot of the mode's problems, like poor matchmaking or people yelling at each other in chat.

As for hard dungeons, yeah, I really wish they'd do them just to shut up the people who want difficulty when they wipe dozens of times in them because there is zero margin for error with a 4 man party.