This is a linkpost for https://en.wikipedia.org/wiki/Quantum_Bayesianism
In the Sequence, Eliezer made a strong case for the realist interpretation of QM (neo-Everettian many worlds), based on decoherence and Occam's razor.
It's tendentious to call MWI the only realistic interpretation.
EY makes a case against CI, which in most circumstances would be a case against anti-realism. However his version of CI is actually OR, another realistic theory. So he never makes a case for realism against irrealism.
As far as I know, neoEverett is the smallest realist interpretation: Eliezer argued not only against anti-realism, but also in favor of the smallest theory that falls out of the formalism.