> This is evidence of a one way interaction beyond correlation.
You appear to be saying that non-mental event A temporally precedes mental event B, therefore the non-mental must be the cause of the mental, rather than the mental being the cause of the non-mental.
However, "you perturb the system via disease or chemicals" is not non-mental. There is a mental act of will to do perform such a perturbation, and a mental awareness of such perturbation being performed.
Each of the provided examples from the parent comment are causal perturbations to the system that establish necessity (although perhaps not sufficiency) beyond a pure correlation. If you lesion a part of the brain, you lose associated "mental" faculties. If you perturb the system via disease or chemicals, you observe a corresponding change in the mental state. This is evidence of a one way interaction beyond correlation.