In your opinion, who would win in a “western style” showdown: a chaos/order mage, a Spellsong singer, or a talent wielder?
Obviously, the question assumes all are comparatively equal in ability, because one who is strong in one area would always overcome one of a different persuasion who was a weak representative of that class/type of magic. That said, a spellsong singer would win hands down because she could direct greater forces from a greater distance. If any were suddenly thrown together without advance warning, the order/chaos mage would prevail because those skills take less preparation to use.