The moogle Time Mage is the most powerful Magic-oriented moogle job, with a Magic Power stat rivaling that of the other races' best Magic-oriented jobs, and a Speed stat capable of out-racing most other magical jobs in the game. However, despite all that, the moogle's Time Mage stats are completely inferior to the nu mou Time Mage. This does not mean moogle Time Mages are useless, just that they should differentiate themselves by using abilities to which nu mou Time Mages do not have access, such as Concentrate or Call.
Nu mou Time Mages are the kings of the magical world. They have the highest Magic Power, an impressive Resistance, and one of the highest Speed stats a nu mou can get. Like most magic-oriented jobs, their other stats are abysmally low, making them weak to physical attacks.