I think part of the problem with p-values and NHST is that it encourages (or doesn't discourage) underpowered studies. That's because p-hacking benefits from the noise of underpowered studies. If you can test a large number of models and only report the significant one then an underpowered study with high type I error rate gives you a greater chance of a significant result.

So I think you are correct that properly powering studies is the crucial thing, but the incentives are against fixing this as long as lone p-values are publishable.