One thing I've come to believe is in line with (what this article presents as) the paper's thesis, and that is the following:
Consciousness is best described as a highest order observation process that is non-continuous. Somewhat like a serverless or virtual instance, it can pop in and out of use as needed, any maybe many times a second.
These brief 'flashes' of highest order observation, when observed by the person, blend to form a continuous experience, but it's really just a smoothing function, and an illusion.
Consider how you can be tricked into believing something was there in a memory that helps explain a story, even when it wasn't. The mind is not as precise as we want to believe!
Consciousness is therefore not the root, and persistent experience! It's weird, but it actually ends up explaining a lot of personal life experiences a little better.