“The one you should use depends on context. It should depend on how much you care about false positives vs false negatives in that particular case”
Yep, exactly! Assume you’re a doctor, have a bunch of patients with a disease that is definitely going to kill them tomorrow, and there is a new, very low-cost, possible cure. Even if there’s only one study of this possible cure showing a p-value of 0.2, you really should still recommend it!