If you claim 'consciousness' is just an emergent phenomena of complexity (something I happen to agree with) then sure neural nets are potentially slightly conscious, but that isn't how most people view consciousness unfortunately.
Most people view 'consciousness' as some 'pie in the sky' component of biological life that has yet to be discovered by science, but this line of inquiry is completely outside the realm of useful dialog, so it seems pointless to debate such things.
These are the two general views of consciousness, the first at least provides a useful framework for discussion, but the two camps will vehemently always disagree with each other.
> "The question of whether a computer can think is no more interesting than the question of whether a submarine can swim." - Edsger Dijkstra