Earlier quoted context omitted.
Smaller effect size as studies improve is the classic sign of a non-event. ESP and the like went through similar cycles - impressive early studies followed by a series of more rigorous studies with diminishing effects until people got bored and moved on to the next big thing.
In this case different tests have occurred at different power levels. Has anyone normalized the results? Of course with only a couple replications its early for a meta study.
I also have a strong gut feeling that this some none issue but it never hurts to test it the US, Russia, China and to lesser Extent the UK, France and other European powers have all conducted studies into ESP, the cost of such testing is ridiculously low compared to the potential discovery.
When it costs near to nothing to explore a phenomenon that can change how we understand physics it's worth exploring no matter how ridiculous it is.