I think they are arguing that the “independent trials” that are happening here are instances of “being given a ‘randomly’ biased coin and seeing if a single flip turns up heads”. But of course the techniques they are using are bayesian, because I’d expect a frequentist to say at this point “well, I don’t know who’s giving me the coins, how am I supposed to know the probability distribution for the coins?”.
I think they are arguing that the “independent trials” that are happening here are instances of “being given a ‘randomly’ biased coin and seeing if a single flip turns up heads”. But of course the techniques they are using are bayesian, because I’d expect a frequentist to say at this point “well, I don’t know who’s giving me the coins, how am I supposed to know the probability distribution for the coins?”.