The probability value, which is what is being thrown away, is what is needed for a Bayesian analysis. Saying that that data is not useful means asserting that Bayesian analysis is not useful.
Precise Bayesian analysis is often impossible, and impossible can’t be useful. A notch down, take the difficulty of analysis as a counterbalance. Only if you can show that in a given situation you can do better by including that additional info, that is justified, not in general.
The probability value, which is what is being thrown away, is what is needed for a Bayesian analysis. Saying that that data is not useful means asserting that Bayesian analysis is not useful.
Precise Bayesian analysis is often impossible, and impossible can’t be useful. A notch down, take the difficulty of analysis as a counterbalance. Only if you can show that in a given situation you can do better by including that additional info, that is justified, not in general.
It often isn’t. Bayesianism isn’t the be-all, end-all of logic. It’s just another tool in the toolbox.