I _quickly_ checked the study [1] and didn't see anything obvious.
Given that our voices reveal so much about the state of a human (think of mood, emotions), I think it's at least possible that voices could reveal something about metabolism. Just we cannot hear it because hearing diabetes is not as useful as hearing something about the mood of another person.
[1] https://www.mcpdigitalhealth.org/article/S2949-7612(23)00073...