Science of abiogenesis or science in general posits no such axiom regarding consciousness.
This is true, however, observation indicates that consciousness derives from many forms of life and therefore any good theory of abiogenesis also needs to established a foundation that can bridge this future gap.
The biggest problem in abiogenesis is the inclusion of the mythology of randomness. This mythology allows one to gloss over the unknowns, and pretend this is a done deal, using a God of Random to bridge the gaps. This is no different that a modified Creationists approach, using a god that is less clever then the Creationists God. Science needs to get rid of the random prosthesis and stick to chemical logic.
For example, DNA is the most hydrated molecule in the cell. RNA can hold more chemically attached water per unit of weight than DNA, but since DNA is much larger, it is more hydrated. Hydration is the chemical attachment of water, therefore DNA and RNA are the most water friendly molecules in the cell. Water pushes organic evolution in ways that minimize the potential in water. This applies to life as well as consciousness.
For example, sodium cations; Na+, which is common to the surface of neurons are kosmotropic, which means they promotes order in water more than water provides for itself. Consciousness has a connection to water getting to the next level of stability.