If you are landing in 3B conditions then the aircraft and autopilot system are fail operational.
Regulators can apply operating procedures in different ways, but essentially if the aircraft is below a specified height, alert - height, then the landing can be continued without crew intervention.
In the highest technical category the roll out system will also be fail-op; if a failure occurs then land, stay on the runway.
If the rollout sub system is not fail-op, then the lower integrity should require a higher visibility minima in the procedure to mitigate the possibility of failure; 'see to roll out'.
The technical specification and integrity of the auto-flight system should ensure that the system remains engaged until the same point when the pilot intervenes in normal operation.
However, this would depend largely on the level of system integration; e.g. if fully within the auto-flight computer, or a separate rollout system such as HUD (different minima for each type).