latetonight:
You stick to that modern FD. It even guides the A/P how to autoland.
In most modern installations both the autopilot and the FD are controlled by the flight control computer (FCC or whatever name an OEM chooses to call it). So, when the auto-flight is not engaged, the FD shows you what inputs will be provided to the auto-flight if engaged. When, auto-flight is engaged then the FD is simply a monitor of auto-flight track.
So, for any mode, including autoland, it's the FCC that is really in charge of the computation for the FD and the autoland maneuver.