Interesting train of thoughts.

Not as a counter point to his thesis but more as a side comment: there have been several examples in the history of physics where an apparent unphysical solution to a mathematical formalism turned out to be something real when taken seriously rather than discarding it. On the top of my head, the negative energy solutions to the Dirac equation that ultimately correspond to the positron, the ability to tunnel through matter thanks to those probability amplitudes you mentioned earlier, taking Lorentz transformations seriously rather than treating them as artefacts helped Einstein develop his theory of relativity, etc... so one should always be careful about discarding too quickly when the math predicts something unphysical.