This is not related to a rotating bar, but an interesting read on something more realistic exercise.
Walker et al. published a paper in 2023 in the International Journal of Exercise Science comparing muscle activation and recruitment using EMG during a muscle up between a bar and a ring. It is worth noting that the sample size was small, n= 10. They found that ring muscle up provided appreciable increased in upper trapezius, biceps brachii, forearm flexors. Also muscle activation is higher in the triceps brachii, and biceps brachii.
One part of their hypothesis - ring muscle up would have larger muscle activation in the serratus anterior, lower trapezius, and latissimus dorsi - not supported by the study.
It is likely that the instability in the ring during muscle up made smaller muscle groups to work and stabilise the movements.
You can read the paper here: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10824315/