Over on the Let-All blog, Georgy Noarov and I wrote post on calibration through the lens of decision making. We think calibration has strong semantics as "trustworthiness", and that lots can be gained by designing uncertainty quantification for particular decision making tasks.
You can read the post here: https://www.let-all.com/blog/2024/03/13/calibration-for-decision-making-a-principled-approach-to-trustworthy-ml/
