I'm not a physicist, but as far as I know, CERN has access to tons of data with every intention of drowning any prior belief. In this setting, I would expect frequentist methods to shine, and bayesian method to be intractable.

However I would not expect CERN papers to make the kinds of terminological / theoretical lapses about confidence the parent thread was talking about. Papers should be rejected for that kind of error, even if you are not a bayesian.