  Local realism is in conflict with special quantum Bell-type models. Recently,
several experiments have demonstrated violation of local realism if we trust
their setup assuming special relativity valid. In this paper we question the
assumption of relativity, point out not commented anomalies and show that the
experiments have not closed objectivity loophole because clonability of the
result has not been demonstrated. We propose several improvements in further
experimental tests of local realism make the violation more convincing.
