  In a recent note, Hance and Hossenfelder (arXiv:2211.01331) recall that
"locally causal completions of quantum mechanics are possible, if they violate
the assumption [called statistical independence or measurement independence]
that the hidden variables do not in any way depend on measurement settings" and
that, consequently, the experimental violations of Bell inequalities "show that
maintaining local causality requires violating statistical independence".
However, Hance and Hossenfelder also argue that "we should (...) look for
independent experimental evidence that can distinguish the two different
options: non-locality and statistical independence, or locality and violations
of statistical independence" and that "the unwillingness to consider theories
without statistical independence may be the reason we do not yet have a locally
causal theory for the foundations of physics that is consistent with general
relativity". Here, we recall that there is a third option, namely, rejecting
that measurement outcomes are governed in any way by hidden variables.
Moreover, we argue that some recent results in the search for principles
singling out the sets of quantum correlations for Bell and Kochen-Specker
contextuality scenarios point out that this third option is scientifically more
plausible and answers the question of why and how nature produces quantum
nonlocality.
