To detect an absence, the brain cannot rely on sensory input, by definition. To be surprised if sensory evidence is _not_ there requires a model of the world strong enough to register surprise if the expectation is not there, without a sensory prompt.
It seems to me detecting an absence is a strictly higher-order neurological task than processing sensory input.
If LLMs can't do this strictly higher-order neurological task, is that not a capability currently unique to living things?