### Inadequacy of Ehrenfest's theorem to characterize the classical regime

The classical limit of quantum mechanics is usually discussed in terms of Ehrenfest's theorem, which states that, for a sufficiently narrow wave packet, the mean position in the quantum state will follow a classical trajectory. We show, however, that that criterion is neither necessary nor...

journals.aps.org

Ballentine claims that " generally speaking, the classical limit of a quantum state is not a single classical trajectory, but an ensemble of trajectories". This matches the result that the classical limit of a Wigner function is a version of classical statistical mechanics https://arxiv.org/pdf/1202.3628.pdf

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So, is there a consensus on the issue? Does QM go to classical mechanics or classical statistical mechanics (or perhaps neither)?