I think Hameroff’s qualitative empirical observation points in the right direction. I do not accept Roger’s gravity collapse. Indeed, there seems to be a recent experiment that Popper falsifies it. The action-reaction model introduced by me back in 1996 and given a solid mathematical formulation by Roderick Sutherland (2015 arXiv) accomplishes what Roger tried to do with quantum gravity i.e. introduce “orchestrated” non-randomness beyond orthodox quantum mechanics that is a limited theory in the same way that special relativity is a smaller theory than general relativity.
I do agree with Roger’s non-algorithmic idea. That corresponds to Seth Lloyd’s hypercomputation via CTCs emulated by post-selected weak measurement techniques. Classical algorithms proceed only forward in time. Weak measurements of entangled separated systems are locally retrocausal. (Costa de Beauregard, Huw Price, Aharonov)