Constance there is no "embodied/embedded/enactive description of consciousness" because one does not exist.
Yes, there are "embodied/embedded/enactive description" of cognition but those are fridge theories at best.
There are no physical theories of consciousness. None.
There are no computational not informational ones either.
Even in the excellent Aeon article I posted a few posts back about philosophers making consciousness too complex, the author expands on the exciting and emerging paradigm of predicitve processing.
Not even this powerful "new" paradigm can touch the hard problem.
Consciousness in the predictive mind
"The prediction error minimization (PEM) account of brain function may explain perception, learning, action, attention and understanding. That at least is what its proponents claim, and I suggested in an
earlier post that perhaps the brain does nothing but minimize its prediction error. So far I haven’t talked explicitly about consciousness. Yet, if PEM is true, and if consciousness is based in brain activity, then PEM should explain consciousness too. In this post I therefore speculate about what PEM might have to say about consciousness.
We talk about consciousness in many different ways: metaphysical, neurological, psychological, colloquial. Accordingly, there are many different ways a theory like PEM could engage with consciousness.
Starting at the top, could PEM deal with the hard problem of consciousness? No. It is easy to conceive of a system that minimizes prediction error yet has no phenomenal consciousness. So consciousness does not supervene on prediction error minimization."
You have to love the no bullshit approach.
The hard problem makes it pretty clear that consciousness does not supervene on anything within the physical domain. That is why I have found Hoffmans interface theory to be so exciting; it explains why looking to the physical for the origin of consciousness will never bear fruit.