I think we're talking past each other, and there may be some confusion about terminology. I will do my best to try to describe what's going on to the best of my abilities and see whether that answers your questions.
Bell's Theorem (also called Bell's Inequality) starts with assuming that the universe has locality and counterfactual definiteness and yields and inequality concerning correlations between certain measurements. Experiments later conclusively showed that these inequalities are violated in our universe. So, one of the assumptions of locality or counterfactual definiteness does not hold in the universe we live in. Historically, this result was used to discredit and eliminate a class of theories about quantum mechanics called hidden variable theories -- the idea that quantum mechanics is deterministic, and we just haven't delved deep enough to find out what's determining the behavior of particles.
In my opinion it's most useful to think of Bell's result as a proof by contradiction: there are a bunch of assumptions (implicit and explicit) that go into it, and we're left with a prediction that reality violates. Therefore one of the assumptions is wrong, but we don't know which one, and different interpretations of QM will have different answers to this question. In the context of Bell's Theorem, counterfactual definiteness has a specific definition, and that's from the local perspective of an observer observing from within physics, because Bell's Theorem itself implicitly assumes a single universe and goes from there.
Under the Many-Worlds Interpretation, the result of a measurement is that the observer is split, and different copies of the observer will experience all results. This is the global and deterministic view. The local view is that the observer will see one result or the other, and there is simply no fact of the matter as to why the observer sees this particular result instead of the other.
The Many-Worlds Interpretation has some advantages over other interpretations in that it's local, deterministic, and mathematically the simplest. But it rubs a lot of people's intuitions the wrong way because it posits an unbelievable multitude of copies of what we know of as the universe.
Bell's Theorem (also called Bell's Inequality) starts with assuming that the universe has locality and counterfactual definiteness and yields and inequality concerning correlations between certain measurements. Experiments later conclusively showed that these inequalities are violated in our universe. So, one of the assumptions of locality or counterfactual definiteness does not hold in the universe we live in. Historically, this result was used to discredit and eliminate a class of theories about quantum mechanics called hidden variable theories -- the idea that quantum mechanics is deterministic, and we just haven't delved deep enough to find out what's determining the behavior of particles.
In my opinion it's most useful to think of Bell's result as a proof by contradiction: there are a bunch of assumptions (implicit and explicit) that go into it, and we're left with a prediction that reality violates. Therefore one of the assumptions is wrong, but we don't know which one, and different interpretations of QM will have different answers to this question. In the context of Bell's Theorem, counterfactual definiteness has a specific definition, and that's from the local perspective of an observer observing from within physics, because Bell's Theorem itself implicitly assumes a single universe and goes from there.
Under the Many-Worlds Interpretation, the result of a measurement is that the observer is split, and different copies of the observer will experience all results. This is the global and deterministic view. The local view is that the observer will see one result or the other, and there is simply no fact of the matter as to why the observer sees this particular result instead of the other.
The Many-Worlds Interpretation has some advantages over other interpretations in that it's local, deterministic, and mathematically the simplest. But it rubs a lot of people's intuitions the wrong way because it posits an unbelievable multitude of copies of what we know of as the universe.