Wouldn't Bayes and logic lead you to immediately believe that some claims, ideas, and beliefs may be more logically sound or matter more than others, steering you away from indifferentism, but the reason why I thought you might be stuck is because you were indifferent to moving away from it.

On occasion, the wisdom of rational self-interest resolves a precedence of each area of metaphysical, imaginary, and scientific subject matter. Often, conflating each area of study leads to nonsensical contradictions.

For example, Bayes theorem does not guarantee the best outcome, but does offer the best unbiased choice at that moment. =3

https://en.wikipedia.org/wiki/Stoicism