  Marginal expectations of jointly distributed dichotomous random variables
obey several non-contextuality inequalities. Of particular interest are those
satisfied by pairwise cyclic expectations such as Boole , SZLG, CHSH and KCBS
inequalities. Quantum mechanics and behavioral sciences taught us that a random
variable measuring the same content (the answer to the same yes-no question)
may change, if it is measured jointly with other random variables or in a
different experimental context. It is often believed that we do not have this
problem in Bell tests because according to Einsteinian no-signaling Alice- and
Bob- data may not depend on what is measured in distant laboratories. In fact
their raw experimental data confirm Einsteinian no-signaling. However setting
dependent experimental protocols are used to create final samples containing
coupled pairs of distant outcomes. Since random variables describing these
samples are inconsistently connected we are using Contextuality-by-Default
approach and modified CHSH inequalities to study contextuality of the system of
these random variables. In our opinion contextuality is not an exception but
the rule, thus it should also be investigated in spin polarization correlation
experiments with correlated but not necessarily entangled photonic signals.
