Let's agree on the interpretation "we should be more right" and skip over the issues of time and costs.

Sometimes a published result can indeed be overturned by a small amount of Bayesian evidence. But that's only possible if you also prove that your methodology was much more right than the original paper's methodology. Right now I have no way of knowing that from your comments. If you add a critique of Jaeggi's study and an explanation why your study was better, that will work for me.