There are a few that have started suggesting quantum mechanics playing a large role in cognition, but very few take them seriously (obviously it has an effect, but likely much can be understood more classically, etc).
The fact that few are moving toward that style of thinking seems to give a bit more credibility to NNs being closer to the correct model. If spiking NNs take off more, we'll probably see more arguments around that, and if Blue Brain's full in-silico modeling takes off we may see the succinct description given by those studies used to describe ideas. However, to first approximation, NNs and spiking NNs aren't really a bad way to reason about large descriptions of brain dynamics, in many circumstances.
Instead people seem to just equate two different complex things they don’t understand with each other.
Though not mentioned in the post, schizophrenia (oddly enough) is also tied to cerebellar dysfunction: https://neuro.psychiatryonline.org/doi/10.1176/jnp.12.2.193#...
http://mechanism.ucsd.edu/teaching/w12/philneuro/metaphorsan...