Consciousness is only unfalsifiable if you define in such a way that there is an undetectable and magical component to it, which is an unjustified and unfalsifiable assumption. Otherwise the most you could say is that it can sometimes be hard to detect, and that our understanding of how it works is very limited. We know it can be altered by physical changes in the brain. Hard solipsism aside (you're not really going to go there, are you?), we have plenty of evidence that consciousness exists.
So since we agree that the unfalsifiability of an idea does not make it rational to believe in it, then it should also be clear that the statement "you can't prove it is false" is not an argument in favor of your idea.
(merging threads on your request)
Can you prove that? Can you falsify it?
I made an argument for it. I used the example of tools that we make for specific purposes. Do you not agree that those purposes are not an intrinsic property of the tools? If you don't agree with that, I'm interested in knowing where you believe the example fails.