The red mages in ff14 were from the crimson duelists, hence the red magic.

Non elemental aether seems like it comes in 3 rough flavours. Unaspected magic (ruin and cure lines of spells for example) equal aspected (red magic) and celestial (space and time magic which don't fit into the other categories due to being both active AND passive simultaniously)

the reason why some spells on the casting implement show light esque or dark esque flavours is because thats what the overall cast is leaning towards. Astral or Umbral

to this end, fleche and contre sixte are most likely unaspected and partially solidified aether in the shape of swords