EDIT: And kudos to you and your advisor here.
EDIT2: I will also say that a lot of the research on fMRI methods is very solid and often quite reproducible. I.e. papers that pioneer new analytic methods and/or investigate pipelines and such. There is definitely a lot of fMRI research telling us a lot of interesting and likely reliable things about fMRI, but there is very little fMRI research that is telling anything reliably generalizable about people or cognition.
cog neuro labs need to start organizing their research programs more like giant physics projects. Lots of PIs pooling funding and resources together into one big experiment rather than lots of little underpowered independent labs. But it’s difficult to set up a more institutional structure like this unless there’s a big shift in how we measure career advancement/success.
I'm not sure what you mean by "experimental psychology" though. There are areas like psychophysics that are arguably experimental and have robust findings, and there are some decent-ish studies in clinical psychology too. Here the group sizes are probably actually mostly not too bad.
Areas like social psychology have serious sample size problems, so might benefit, but this field also has serious measurement and reproducibility problems, weak experimental designs, and particularly strong ideological bias among the researchers. I'm not sure larger sample sizes would fix much of the research here.
I can believe it; but a change doesn't have to be sufficient to be ncessary.