Neither of these really solve the problem if you're trying to go anywhere other than the first exit. OP is right, this is an issue with roundabouts and you end up needing traffic lights in this case (at least at peak times)
Sometimes tunnels are builds to avoid lights when going straight is the direction favored by the majority but it can force an unwanted loop if you stayed on that lane and you didn't realize in time you had to go right to take the roundabout.
