Reason for saying this: falsification to me is kind of a Schumpeterian version of epistemology. You tear down a building (theory) to get a new, better one. Bayesianism on the other hand is more akin to a formative evaluation.
The book Statistical Inference as Severe Testing: How to Get Beyond the Statistics Wars, by Deborah G. Mayo seems like what you are looking for.
There's also a shorter essay on the topic, by the same author, but I forgot the title.
@odr_k4tana the Bayesian framework allows you to revise your degree of belief in the truth/falsity of a claim like "Joe Biden is the democratic presidential nominee". Evidence in favour will increase that belief, evidence against will decrease it.
It doesn't matter whether you happen to be more interested in its truth or its falsity.
but maybe I'm missing your point?
@odr_k4tana Oliver, I had typed out a response that somehow failed to include your handle...(I've now edited it in, but doubt that works..)
it's here https://fediscience.org/@UlrikeHahn/113029731632614410
@odr_k4tana@infosec.exchange still not sure I understand completely what you are saying, but the epistemological difference feels like this: goal Bayes - evaluate truth or falsity of theory, to do that make assumptions about diagnosticity of data goal Freq - establish non-random nature of data pattern (phenomenon) and make assumptions about how that relates to theory ??