I'd like to reiterate.
All Conjurer is a Direct Magic User (Someone who casts Single Unit Spells that deal all the damage or healing at one time.)
All Thaumaturge is is a Over Time Magic User (Someone who Casts Spells that work over time instead of doing everything all at once.)
Neither is a White Mage or Red Mage, They But you can make a White Mage or Red Mage by pulling the right spells and skills from here and there.