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In my opinion, Barbarians, with proper skill, can be a very strong faction for some players. However, several drawbacks immediately stand out:
1) There is no unit that can traverse the entire battlefield in one turn.
2) There are no flying units.
3) Weak magical abilities.
4) Weak defense.
But, of course, there are also key advantages:
1) Generally high attack and logistics for the hero.
2) 2 ranged units.
3) Good 2nd-tier units.
and so on.