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It's all about the rules here... If it's a "game without rules," meaning you can get 200% and upgrade your heroes, then the Conflux might be a bit easier... upgrade them by 1-2 days and you're good to go...
Anyway, by the end of the second week, you should have a level 7 Castle and a level 7 Barbarian town...
Plus, there's the question of rests. If it's a game without rules, one subjective rest per series of 3-5 games is one thing. And with heroes, if you can't choose them, it might play out differently...
Overall, based on the number of buildings and resources, it seems like it's easier for Barbarians to get to level 7, especially if you also take goblins in the outposts and use them to raid the Dwarves...