No, A is inside the Zero Vis Zone so cannot draw LoF and cannot have LoF drawn to them. https://infinitythewiki.com/Zones,_Bases_and_Silhouettes Inside To consider a Trooper to be inside a defined game area (for example a Zone of Control, a Zero Visibility Zone, or a Difficult Terrain Zone) its Silhouette must be in contact with the zone, or be at least partially within the zone .
Assuming no MSV then no LoF. The slightly more specific section is https://infinitythewiki.com/Template_Weapons_and_Equipment#Area_of_Effect Effects When using a Template Weapon or Equipment, any Trooper whose base or Silhouette Template is in contact with the Template, or is partially or fully inside it, is affected by the Weapon or Equipment. That not to say what colbrook posted doesn't also explain the situation.