Meta doesn't imply cycling, just that the best strategy may be a mixed strategy which involves randomly picking between different pure strategies.
Instead of cycling, the meta ought to converge to a Nash equilibrium.
With the right mixed strategy, an opponent choosing a pure strategy would be at a disadvantage.
Randomising over a huge choice of pure strategies may be infeasible of course and in the real world players have to train for particular strategies which is why we see meta shifts. (Plus of course in the real world the conditions (assumptions) change due to gameplay patches.
Instead of cycling, the meta ought to converge to a Nash equilibrium.
With the right mixed strategy, an opponent choosing a pure strategy would be at a disadvantage.
Randomising over a huge choice of pure strategies may be infeasible of course and in the real world players have to train for particular strategies which is why we see meta shifts. (Plus of course in the real world the conditions (assumptions) change due to gameplay patches.