I believe mindstab is talking about debates as to whether a quantum wavefunction posses any objective reality. That is an old argument. For example Everett's Ma

I believe mindstab is talking about debates as to whether a quantum wavefunction posses any objective reality. That is an old argument. For example Everett's Many World Interpretation from the 1950's posits a real universal wave function. It is also deterministic. The one this paper purports to disprove are the ones which say wave functions are not real but a probability distribution representing your lack of knowledge of the total system state and collapse from measurement is not so different from choosing to condition on the probability distribution. I am sympathetic with the view of quantum mechanics as a bayesian complex probability theory and so will wait till more knowledgeable people critic the paper.