Such conceptually dense language! Isn't the average amplitude of every wave just zero?
Except there are ways to go below that, like a Casimir cavity.
I find these things confusing because when people explain Casimir cavities they never bother to say why the justification for zero point energy existing in the first place doesn’t apply within the cavity.
Of course in nature there is no such thing as a "classical wave", so this description has to break down at some point. This is the case for vacuum fluctuations which simply do not have a classical explanation.
I think in the case described here, the zero average amplitude thing has to do with something a little bit different.