Remember, the AntiHero is simply another archetype. And where the Hero tends to evolve, the AntiHero devolves. But this is only if stories follow "moral" guidelines - in other words, that wrong must inevitably have a price / be punished.
Without "the moral imperative," it is just as feasible for the AntiHero to benefit from the evolutionary path that the classical Hero follows. In other words, the AntiHero has his cake and eats it.
Whatever the nature of the Hero, it is the process that you must adhere to. It is the process that takes the (anti) Hero through the evolution.
And remember the process has two parts: the physical (journey) and the psychological (transformation).
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