Confidence intervals aren't even that informative. Like using boxplots when you could inform the viewer so much more with sina plots [1]. Why not show me the whole posterior probability distribution (perhaps helpfully marking the 95% highest density region [2])? Or if you don't have a distribution, show me the 95%, 97.5% and 99.5% intervals.

[1] https://clauswilke.com/dataviz/boxplots-violins.html

[2] https://www.sciencedirect.com/topics/mathematics/highest-den...