Okay, but what do you _do_ with a confidence interval once you have it? It's just an abstract object that can't be used to take your knowledge and make better predictions about the future. If I tell you "This new particle decays with a half life of 28 years with a 95% confidence interval of +/- 5 years", can you take that information and use it to estimate the age of an object that started with 236 particles and now has 182 particles?
> this is not a question about estimating an unknown parameter of a distribution, so it's not statistical in the sense Wasserman is talking about
And a frequentist confidence interval doesn't answer a question about how you should update your knowledge so you can make better predictions in the future, so it's not statistical in the sense bayesians talk about.