LOL, sometimes my two cats fight, but they really love each other. It's not as entertaining as watching scientists fight though. My cats don't throw philosophy and formulas at each other like the food fight scene from Animal House.
So, what do we know to be a fact? Someone much smarter than I said something to the effect that the central mystery of Quantum Physics, the only mystery, is contained in the double slit experiment, so we will take that as an axiom.
Yakir Aharonov said we can gather just a little information about a trajectory of a particle path and have a very very much smaller affect on the quantum system or state, so that in theory it is possible to gather enough information from a large ensemble of particles to calculate average trajectories of particles and see what is happening in the double slit experiment, without destroying the interference pattern.
Steinberg, et al, from the University of Toronto, preformed that experiment elegantly with some very sophisticated equipment and indeed found the average trajectories of particles followed deBB theory almost perfectly.
Statistical Quantum Theory is a 100% correct statistical (indeterministic) method of performing Quantum Mechanics. It is a good tool for doing some jobs, like designing a quantum computer, but it tells us very little about the physical processes occurring in the double slit experiment. It provides the right answer every time, but it doesn't provide a physical model of what is happening.
deBB theory produces the same correct answer, but in a deterministic fashion that generates a physical model of the process, i.e., the guiding wave goes through both slits, creating the interference pattern, and the particle goes through one or the other of the slits, but follows the guiding wave to it's destination, reflecting the interference pattern of the guiding wave.
If there was any way on this Earth to explain the wave-particle duality without needing both a wave and a particle working in conjunction, I'd say, design an experiment to test it. But to my knowledge, the only deterministic explanation that has ever been experimentally verified is deBB theory.
So, just as we have deterministic classical mechanics which provides a physical model of the process involved, and non-deterministic statistical classical mechanics which can more easily solve some problems, but does not provide a physical model other than the math process, we now have statistical QM (orthodox QM) which provides the correct answers but no physical model, and deterministic deBB Theory which provides the same results, but describes a physical model as well.
But given this model, i.e., that a photon consists of a corpuscular particle and a guiding wave moving in conjunction, certainly there are additional experiments that can be performed that will tell us more about this conjunction? Does the wave lead the particle? If not, how does the particle follow the wave? Obviously they are separate, since the wave splits and goes through both slits, but the particle only goes through one or the other, so by what force or field does the wave redirect the trajectory of the particle to form the interference pattern?
Having a deterministic physical model is what physics is all about. It allows us to not only come up with the correct results in an engineering sense, but to also understand the physical processes and ask deeper questions about the nature of the Universe. Perhaps 100 years hence we will look back and laugh at how little we understood about a simple little photon today. In the meantime, I'd suggest we set prejudices aside, keep the philosophical food fights to a minimum, and allow rock solid theory, math, and experimentation to guide us out of this long dark tunnel.
Having a physical model is a wonderful thing! Be Happy!