It depends on the setup of the experiment.
Imagine an experiment where a person's thumb gets randomly hit with either a hammer or a feather once per day. And they then subjectively rate the experience. After 1000 days of collecting data, I doubt that we would wrongly come to the conclusion that the hammer treatment leads to the nicer outcome.
The setup of the Theanine experiment which is the basis of this thread looks good on first sight. I have the feeling that the interpretation could use more thought though.