  We reject unjustified criticism of our published article [2209.07992] by Gill
and Lambare [arXiv:2211.02481, arXiv:2208.09930]. They completely misinterpret
the content and conclusions of this article. They construct a counterfactual
probabilistic model in which random variables representing outcomes of four
experiments performed using incompatible experimental settings are jointly
distributed. Thus, CHSH inequalities trivially hold for all finite samples
generated by their model. Their model defines a probabilistic coupling for our
model describing only the raw data from Bell tests. The existence of this
coupling does not invalidate the derivation of the contextual probabilistic
model describing the final data from Bell tests. Only these final data are used
to test Bell inequalities. Inequalities cannot be derived because our model
violates statistical independence. Our contextual model allows to explain in a
local and causal way the violation of inequalities and the apparent violation
of no-signaling reported in these experiments.
