All this information is serialized onto pretty much 5 channels (excluding things like one's sense of balance, or the awareness of how your body is posed), all streamed concurrently.
Sounds like a recipe for high bandwidth consumption. Many cycles per second.
Based on this, I'd wager we (and our perception of self) only exist in the ether between our body's neurons.
Says who? Just because you can invent categories doesn't mean you've identified channels. That would be like walking up to a computer, say "pictures, sounds, storage", and assume that the computer must contain 3 enormous channels dedicated to each type of information.
https://en.wikipedia.org/wiki/Vestibular_system
built-in to give us the sense of balance:
Masgrau et al. (2006) Atomic Description of an Enzyme Reaction Dominated by Proton Tunneling
So they may be essential to basic plumbing shared by many species, but not otherwise a game-changing factor for "consciousness" or "intelligence".