  A violation of Bell-CHSH inequalities does not justify speculations about
quantum non-locality, conspiracy and retro-causation. Such speculations are
rooted in a belief that setting dependence of hidden variables in a
probabilistic model, called a violation of measurement independence, would mean
a violation of experimenters freedom of choice. This belief is unfounded
because it is based on a questionable use of Bayes Theorem and on incorrect
causal interpretation of conditional probabilities. In Bell-local realistic
model, hidden variables describe only photonic beams created by a source, thus
they cannot depend on randomly chosen experimental settings. However, if hidden
variables describing measuring instruments are correctly incorporated into a
contextual probabilistic model a violation of inequalities and an apparent
violation of no-signaling reported in Bell tests can be explained without
evoking quantum nonlocality. Therefore, for us, a violation of Bell-CHSH
inequalities proves only that hidden variables have to depend on settings
confirming contextual character of quantum observables and an active role
played by measuring instruments. Bell thought that he had to choose between
nonlocality and the violation of experimenters freedom of choice. From two bad
choices he chose nonlocality. Today he would probably choose the violation of
statistical independence understood as contextuality.
