Hi Keith,
Appreciate your out of box thinking !! 
But here still the name of the task will be password reset. Of course the purpose is served to identify the user using security questions and allowed to do what ever we want under the ordered task, still the problem is the name of the task is password reset 
!! ( Assuming you are not using password reset task in your IDM task) which no businnes would allow to unlock with task name as password reset.
And anyways you have to use standard password reset task (guided task) for this unlock feature, IDM will not understand which is the actual password reset task. ( if you are already using standard password reset task in your landscape)
Clearly business won't allow for such confusion !!
Hope I make sense !! May be we can raise a request in the thought place for this to SAP to allow customization of anonymous self service tasks.
Happy Weekend !!
~ Krishna.