P-values are much more problematic at the alpha=.05 threshold than the alpha=.005 or alpha=.01 thresholds.
In my work as a data scientist, 99% of the time this is not even relevant. We have huge sample sizes and most of the p-values we see are <.0001, meaning there is SO much data that even a very very small effect size can be found "significant."
The question then: does a mean of 20.02 being significantly different from a mean of 20.03 over 10 million patients, is that actually important to us?