The spells and WS you listed are AoE centering around you. Fire/Fira etc are spells targeting an enemy.

Finally, they need to bring back the toggle AOE function, I missed that. What if we end up having to fight a bunch of monsters that can absorb fire and ice damage?
In SE's quest to make this a generic MMO, you won't ever have to worry about this lol, especially since they did it in FFXI and we know how well XI concepts fly around these parts.