1: https://www.lesswrong.com/posts/AnHJX42C6r6deohTG/bell-s-the...
2: https://kantin.sabanciuniv.edu/sites/kantin.sabanciuniv.edu/...
But, we specifically have no way of proving that theory. So now we're back to the essence of the original question - if these things seem random why do we know that they're in fact deterministic without any hidden variables?
If you are properly amazed by it, rejecting MWI or any crazy-ish borderline-conspiracy theory seems suddenly a lot harder.
I feel the whole Yudkowsky's QM series in fact served to deliver that one post.
But IIUC, one of the remarkable things about MWI is that it would be a local hidden variable theory!
This is a very important property to have because the principle of locality is deeply ingrained in the way the Universe behaves. Note that (almost?) no other quantum interpretation is both realist and local at the same time.
Maybe you wonder, how is it possible that MWI can be considered a local hidden variable theory if Bell's theorem precisely shows that local hidden variable theories are not possible?
I think that it was Bell himself who said that the theorem is only valid if you assume that there is only one outcome every time you run the experiment, which is not the case in MWI.
This means that MWI is one of the few (the only?) interpretation we have that can explain how we observe Bell's theorem while still being a local, deterministic, realist, hidden variable theory.