finally reading Mayo& #39;s Statistical Inference as Severe Testing

perhaps naive question: why isn& #39;t inference using the empirical cdf the default for bayesians (and also severe testers)? #statstwitter

i suppose the severe tester can probably do some sort of out of sample goodness of fit test and throw out the ecdf? what& #39;s the bayes justification for not using the ecdf?

(Actually, I& #39;m more curious what a likelihoodist does here. I think the "use a prior" is a cop-out non-answer in practice.)