You could define it that way. I think it could be more abstract than that, personally, because
a. Is the nervous system in animals the only neural network in nature? I've heard discussion on the whether a some types of fungus are conscious from how they send chemical signals to other parts of the fungus. This is slow but does it count? And then there's the collective consciousness of ant colonies and beehives. That's a level above where each bug's nervous system is itself a node in a larger neural network.
b. I think that consciousness is more than just the nervous system. In another comment under this post I argued that a neural network (in an abstract sense) can only "think" in terms of the sensors it has access too. What does the lab-grown brain think about? It's never seen things, it's never heard sounds or words, can it feel touch? (I'm not an anatomy guy). My hunch is it's just static, essentially an "untrained" neural network". Does that count as conscious?Maybe those senses are considered a part of the nervous system, again I'm not an anatomy guy.
But then how do the "chemical computations" like hormones and gut bacteria come into play? Are they just indirectly sensed by the nervous system?