I don’t know Concordia, but I look forward to being notified that it’s my turn on everyone’s turn…
As for Labyrinth, while Playdek has done another great job with the implementation, for me it just doesn’t scratch the same itch as Twilight Struggle. Almost everything in Labyrinth hinges on a die roll, and a bad string of rolls can feel like a long Quagmire in TS, but far more frequently. I expect the better player still usually wins, but it feels like the game can reach a point where your best option is roll for a 5 or 6, and if you fail, nothing happens (especially as the US). Maybe the game is already lost at that point, but nothing happening on your turn is pretty unsatisfying…