The CI has absolutely nothing whatsoever to do with consciousness. The CI view is simply "when a quantum system interacts with a measurement device, the wave function of the quantum system changes to one of some subset of real values, with a probability given by the modulus of the amplitude of that value in the wave function". Exactly what constitutes a measurement apparatus is undefined, but it certainly doesn't involve a human.
In fact, it is precisely the MWI that requires human observers for its explanations, at least to some extent, as it makes the entire notion of a classical world a fiction that only exists inside your own head because you are the one that's getting entangled with a quantum system. Any probability you compute in MWI is relative to you personally, since in MWI any possible event happens with probability 1 when checking at the universe level.
In fact, it is precisely the MWI that requires human observers for its explanations, at least to some extent, as it makes the entire notion of a classical world a fiction that only exists inside your own head because you are the one that's getting entangled with a quantum system. Any probability you compute in MWI is relative to you personally, since in MWI any possible event happens with probability 1 when checking at the universe level.