There’s some related academic work around this here: https://www.princeton.edu/~tkelly/papers/epistemicasinstrumental.pdf https://core.ac.uk/download/pdf/33752524.pdf
They don’t specifically focus on utilitarians, but the arguments are still relevant.
Also, this post is relevant: https://www.lesswrong.com/posts/dMzALgLJk4JiPjSBg/epistemic-vs-instrumental-rationality-approximations
There’s some related academic work around this here:
https://www.princeton.edu/~tkelly/papers/epistemicasinstrumental.pdf https://core.ac.uk/download/pdf/33752524.pdf
They don’t specifically focus on utilitarians, but the arguments are still relevant.
Also, this post is relevant: https://www.lesswrong.com/posts/dMzALgLJk4JiPjSBg/epistemic-vs-instrumental-rationality-approximations