The problem with this RCUT style is that you are asking slower traffic to turn right and be able to merge left in enough time to not disturb oncoming traffic, many of which will be traveling at 70mph or more.
This has been an ongoing issue with these rural 4 lane freeways that want to maintain intersections with rural or low volume state highways.
Looking left, you can't always judge the speed of the oncoming vehicle, its worst at night, terrible for motorcycles.
While it abates the issue of right side impacts, you have increased the risk of rear-enders because these drivers are being asked to cross not just the 2 lanes on the lower side, but also navigate 2 more lanes on the upper side to get back to their right turn.
Nebraska DOT cost cutting move IMHO.
They didn't want to pay for doing it correctly, so they came up with this "safety" option instead.