Much of the support for the HPC takes the form of "since we don't have the exact ingredient for the origin of consciousness, we can't say it is organically derived." This allows for the dismissal of all evidence supporting the emergence argument. But my point is that even if we never know the exact 100% cause (model consciousness perfectly), we can still see it as an emergent behavior. This is the reason for the analogy, when you consider the transition between turbulent and laminar. As I said, there is no magical ingredient requiring the transition, even though we can't fully describe it. There is no reason to assume a magical ingredient is needed for consciousness to exist.
Another difference is that fluid dynamics is just a description of what something is doing (fluid flowing). Is consciousness just a description of neural processes?