In theory there is no difference between theory and practice. In practice there is.
A physical Turing machine can simulate an iPhone, in theory. Would you like to try to build one? :-D
The only problems would be speed and memory.
There is a tiny chance that when he said "does not reproduce the causal structure of neural interactions", what he actually meant was "would simulate the neural interactions extremely slowly", but if that was the case, he really could have said it better.
My priors are that when people without formal computer science education talk about brains and computers, they usually believe that parallelism is the magical power that gives you much more than merely an increase in speed.
Recently published article in Nature Methods on a new protocol for preserving mouse brains that allows the neurons to be traced across the entire brain, something that wasn't possible before. This is exciting because in as little as 3 years, the method could be extended to larger mammals (like humans), and pave the way for better neuroscience or even brain uploads. From the abstract:
http://blog.brainpreservation.org/2015/04/27/shawn-mikula-on-brain-preservation-protocols/