This is clearly a cost/benefit tradeoff, and the sweet spot will depend entirely on the field. If you are studying the behavior of heads of state, getting an additional N is extremely costly, and having a p=0.05 study is maybe more valuable than having no published study at all, because the stakes are very high and even a 1% chance of (for example) preventing nuclear war is worth a lot. On the other hand, if you are studying fruit flies, an additional N may be much cheaper, and the benefit of yet another low effect size study may be small, so I could see a good argument being made for more stringent standards. In fact I know that in particle physics the bar for discovery is much higher than p=0.05.
What if it's the other way round and a p<0.05 study says that the best way to make sure a rival country does not do a nuclear strike on you first is to do a massive nuclear strike on them first?