1) The "study" you link to concerns Aspect's 1983 thesis. Even were it to have accurately described either Bell's inequality or Aspect's study, it would still be meaningless. Note, for example, that the author concerns himself with photons. However:But if Bell's inequality violation were not clearly demonstrated, i.e. not violated ...
"In the past few decades, seminal experiments have demonstrated that massive objects can be prepared in spatial superpositions of the order of its size. This has been realized with electrons [1], neutrons [2], atoms and dimers [3], small van der Waals clusters [4], fullerenes [5], and even with organic molecules containing up to 400 atoms [6]. These experiments are designed to observe the interference of matter waves after passing, in essence, through a Youngs double slit. The possibility of observing these quantum pheonomena with yet-larger objects is extremely challenging. This is due to the great quantum control and isolation from the environment that these experiments require."
Romero-Isart, O. (2011). Quantum superposition of massive objects and collapse models. Physical Review A, 84(5), 052121. (here's the arXiv version).
2) Aspect's 1983 thesis referenced in the link is his "Trois tests expérimentaux des inégalités de Bell par correlation de polarisation de photons" ["Three experimental tests of Bell's inequalities via correlation polarization of photons"]. It doesn't actually link to his published empirical studies, one of which is much more important than the other two. The author also uses this now 20+ year old paper to justify using an intro. quantum physics textbook in place of Bell's actual work.
3) In the paper, the author quote-mines the textbook to define Bell's inequality as follows: we will hereafter take the definition given by professor SCARANI:
'This is the statement of the Bell theorem: if our hypothesis is correct, the average value of i s must be between −2 and +2. Thats all...' Then Bells theorem (or inequality) is mathematically transcribed to... followed by their inequality based on a qualitative, simplified description of Bell's theorem:
In reality, we have
where the average of the two spins is given by
4) In the "technical" appendix at the bottom of the paper, the reference is to Wikipedia's page on Bell's inequality. Over two decades of studies and reviews of studies on more and more demonstrations of different kinds of violations of Bell's inequality, and the only citations the author really uses are from an intro textbook and Wikipedia. This is in addition to the cavalier treatment of discrete summations and the wrong algebra vs. an expectation value given by an integral.
5) Here's the actual inequality:
6) Don't trust open access papers which fly in the face of thousands of studies and mountains of research with less than a dozen citations, two of which are Wikipedia.