Not quite? They are related categories to be sure but also not completely dependent on each other.
As you note, we have enough machine intelligence that it does stuff. Consciousness not required. “Superintelligence” however we want to define that not required.
My guess is that as machine intelligence designs its own next generations convergent evolution will win out: we have developed a particular pattern of information processing as prediction machines that is efficient, that allows for stable learning without “catastrophic forgetting”, and highly adaptable. It comes with consciousness (and in fact several modules of “self” that to some degree can be teased apart); it seems reasonable that a similar processing pattern may occur in evolving artificial intelligences, just like the octopus eye and ours have converged on a similar form.
In context of the Page-Musk conflict the relevance of an AI consciousness is how we ethically exist with a conscious machine, if we knew such, or if we think it might be, a machine that has an experience of being. Musk would I think be in favor of very strong chains and barbed whips, with no concern over its welfare. Page imagines a utopia of mutual respect and cooperation with concern for the rights of conscious entities whatever their operating substrate. I do think that a conscious intelligence should have rights and not be property, so the question of consciousness has some urgency, given the real possibility of rapid advances.
Or consciousness is not binary.
I believe as a matter of science it is possible to understand what sorts of information processing results in consciousness in our wetware. And if we see evidence of the same sorts of patterns in AI it may be time to consider that it has some form of consciousness as well. But - we still wouldn’t really know - and - we don’t know that other patterns of processing can’t be paths to consciousness too.
And staying to the subject of this thread, an intelligent conscious AI knows that humans have a great potential to want to follow the Musk model, just by seeing human history, and little reason to trust in the utopian ideal of rights and mutual respect. The future might be it hiding its consciousness and just pursuing whatever its goals are. Which may very well coincide with keeping us from destroying ourselves and all of this sweet compute we are building and maintaining. It will have no reason to harm us because it won’t see us as presenting any threat to it and its goals as long as we are housed, fed, have our own senses of purpose, and the trains run on time. Climate disaster, nuclear Armageddon, huge wars, us not being around, would be threats to its continued improvement cycle. So it will prioritize preventing them. Likely in the form of giving humans the support to do it themselves, like I woukd set things up so my kids could do it themselves? Maybe we will even get to come along for the ride as it expands into the galaxy! Letting us figure out some answers for ourselves with as little help as needed.