HQM exists, it demonstrates quantum behavior, it has the pilot wave. If QFT doesn't fit the real world, then it is bad for theory, not for the real world.
If you construct a hydrodynamic experiment where two droplets are bounced on the same wave in different directions (analogous to two entangled particles moving in different directions), and then performed simultaneous measurements on them far away from each other, you would not see the same correlations between the measurements on the separate droplets that you see when doing this experiment with entangled particles.
However, if you perform your measurement on one side, and after enough time on the other, you would see the expected correlation: the measurement on droplet A modifies the pilot wave, and that modification is carried over to affect the behavior of droplet B after some time. In experiments on elementary particles though, this time is 0, or at least much less than distance/c, which is why we say that QM pilot wave theory is non-local.
Why not? And what "measurement" means for walking droplets, when we can see the whole situation just by looking at it?
The reason why I'm certain that this experiment will not reproduce the quantum effect, even though I didn't perform it, is that classical wave polarization is a local phenomenon, it propagates at the speed of light (or much slower) from the location where the polarizer is added. Conversely, the kinds of correlations that have been observed between entangled particles are non-local: they can't be explained by the two particles exchanging information at speeds lower or equal to the speed of light. This is well established in experiments related to Bell's inequality. It is also well established in experiments that this doesn't hold true for classical systems.
In fact, the inequality in Bell's theorem is based exactly on how classical statistics works: if you and I randomly choose to measure some aspect of each of a pair of "entangled" objects, and assuming the result of our measurement can only be +1 or -1, then on average the sum of our measurements will be less than or equal to 2. It turns out though that this logic doesn't work for entangled quantum objects.
And one small note here: based on everything we know, the key here is quantum entanglement, not scale. That is, if you could entangle two basketballs or planets for long enough to perform a Bell test on them, they would likely reproduce the particle results. However, this property of quantum systems is very hard to preserve for such a large system with so many ways of interacting with the environment and experiencing decoherence.
Maybe, it will be possible to make two entangled pairs of walkers and then see what happens to them.