> It has impacts on the roundabout's throughput too
For these use cases there's the turbo roundabout[0]. Depending on how you design it you can give certain directions slightly more priority, though they don't solve the pedestrian issue either.
[0]https://en.wikipedia.org/wiki/Roundabout#Turbo_roundabouts
That said, if there's a huge bias towards cars coming from one direction (or out one direction), that can be very difficult to cross. And it has impacts on the roundabout's throughput too, and means that a roundabout might not be the most ideal. Similarly to how a roundabout that gets backedup into can fail catastrophically (you have to make sure there's negative pressure!)