One of the foundational problems with the soft/social sciences is that many of its practitioners have such weak analytical thinking skills (Note below) and the educational requirements for Psychology majors typically just include a few semesters of statistics courses designed to be understandable for them.
Peer reviewers in Psychology generally don't expect authors to go much beyond the basic statistical tricks students are taught in undergrad. From prior discussions with professors in these fields, it's my impression that most are unable to understand just how flimsy such methods are.
Personally, my prediction is that this won't get better until we have more AI-guided analytical analysis software packages that make more robust analysis accessible to those in soft-science fields. This is, something to replace reliance on stuff like R^2 and p- values.
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Note: Just to provide some numerical evidence for the assertion that Psychology practitioners tend to be weak with their analytical skills, here's [a PDF of GRE scores](https://www.ets.org/s/gre/pdf/gre_guide_table4.pdf). GRE test-takers planning to study "Psychology" had quantitative reasoning (QR) mean of 149. This is pretty bottom-of-the-barrel; even people planning to go for grad school to do "Arts - Performance & Studio" did a little better, with an average of 151.