This edge loss is largest when rolling straight ahead. So long as the wheel is allowed to turn at its natural radius the slip disappears. The normal Rolling Resistance which heats the wheel as the contact patch area is deformed still occurs when rolling on edge. So it looks like the slip loss from rolling on the edge should be added to the normal rolling power loss. This would make the edge power loss about double the normal rolling power loss for the cases looked at here.
More data is needed for real wheels before the models can become more accurate.