They may be safer and reduce top speed when traffic is low but otherwise improve flow so that pedestrians have less opportunity to cross.
It's normal to have pedestrian crossings at our plentiful roundabouts in the UK. If they are particularly busy or multi-lane, they will also have traffic lights to stop traffic just for the pedestrian's benefit.
Where else would it go based on where the curb cuts are?
Could probably add a mid-block crosswalk for crossing to the other side. I doubt that’s what will be done, but it seems like that could work.
I wonder--if it's a busy roundabout. There's a lot going on and drivers are looking at traffic in the roundabout and in the upcoming entrance to the roundabout and mentally calculating if it's safe to merge in. At one particularly busy pair of local roundabouts (aka "the twin doughnuts of death") there's actually been a pedestrian/cyclist stop light installed because otherwise you'd be taking your life in your hands to get across the road.
Roundabouts generally make streets safer for pedestrians as they slow the flow of traffic. However, when you add a roundabout, you need to displace the crosswalks a few feet away from the intersection because otherwise the crosswalk leads pedestrians directly into the path of traffic.
Here is what the intersection looks like now:
https://twitter.com/RyFons/status/1527776660187119616/photo/...
It would be nice if Step 1 of the how-to guide was to check with the city to see what it's plans are first. But I guess that wouldn't be as cool.