NamedCPlane and OneView ignore each other in Rhino 7.7

There is not much coordination between the NamedCPlane command and the OneView command. When the OneView mode in on, neither the NamedCPlane, nor the OneView are reliable. As seen in the following screenshot, the construction plane grid and the construction plane icon often show contradictory information. The OneView label is lying as well. Another problem is that it is sometimes impossible to change the active construction plane with the NamedCPlane when the OneView mode is on.
Rhino NamedCPlane OneView bug

There is also separate bug in the NamedCPlane: double-left-click on the construction plane name always changes the icon, but it sometimes does not change the cplane.