I would absolutely love having a mini-game server in addition to Pve. Sometimes I just get tired of building and want to do somsething else, which leads me away from the server completely. If I had some mini-games to play, I'd likely be there instead of running around in circles playing GTA.
Even when people built little games on the P server, like the mini puttputt, it was super fun to play with others. THough I suppose that would be a mini, mini, mini-game.