The CI as such is minimal in its commitments, and is not committed to the existence (or non existence) of a real wave function. You comment seems to reflect EY;s habit of conflating the CI with Objective Reduction.

ETA:

This is about how scientists sleepwalked themselves into a philosophical theory about QM without fully realizing they were doing philosophy at all.

Bohr and Heisenberg were in fact quite self-aware about their philosophical presumptions.