This controversy would -- or should -- go away if the detractors would ever admit that Joy's framework is analytical.
However, if they would so admit, there would remain no foundational basis for the digital model. It relegates quantum theory to a subdiscipline of information theory, and eliminates quantum entanglement. That's what they don't want to give up; there's too much research money at stake.
The onus is on Bell loyalists to demonstrate that entanglement exists -- failing that, Einstein's program ("all physics is local") stands to be demonstrated. Joy offers an experiment that includes a non-arbitrary initial condition and a function continuous from that value. In this light, Gill's mathematical arguments are not only wrong, they are superfluous. Newton's hypotheses non fingo applies; the physical experiment is decisive.