I don't know that I have any suggestion, though, to make it better other than try to keep pedestrians far enough from the roundabout that drivers can easily focus on them and not be distracted by more moving parts.
The argument that you are only crossing half the road at a time is fairly compelling, though. I guess there's a trade-off there.
https://www.craftontull.com/insights/insight_posts/view/63/p...
Compare this intersection which seems to have been somewhat recently upgraded:
From https://www.google.com/maps/@39.9679819,-86.1403832,3a,75y,2...
To
https://www.google.com/maps/@39.9679454,-86.1403837,3a,75y,2...
Notice that there is also now a bend in the road so a car physically has to slow down to navigate it, unlike miles of straight traffic light intersections.
Smaller roundabouts in narrower streets feel safer for pedestrians even if the islands are smaller. It's really the street size that is doing the work and the smaller roundabout works in conjunction with the street size to make cars behave more like they're in a turn and not a road with curves in it.