As if the SMNs 1-2k MP pool isn't enough?
Jeez..SMN doesn't -need- an Auto-Refresh II.
SCH does actually...think about it:
I did, and it's retarded to think that way.
Auto-Refresh exists for one reason, to recover MP. Its "necessity" is based on the MP pool and usage of the job classes. That's why it went to SMN. A "1-2K MP pool" is both useless and laughable in today's Vana'diel. Every decent mage knows it's not what MP you can top off at, but how fast you can replenish the MP you use.
The MP recovery idea of choice is Clear Mind. We know this because of the relatively overwhelming amounts of +hMP items in the game given to all mages. Auto-Refresh went to SMN at because it was needed to offset Perpetuation Costs. It went to SMN at 25
because that way it was available as a subjob.
It was a mark of laziness in the Dev. Team when PLD was given it at level 35.
As for the questions of the OP, Giving a two-per-tic Auto-Refresh as a Job Ability for SCH with a 10 minute recast, even if it only lasted 60 seconds, with SCH's four
Clear Mind traits and it's ability to receive both Ballad and Refresh, would certainly
It would also be a mark of laziness. Refresh should not be the end-all buff of any mage job, and only narrowminded players will insist that it is. It would also be a senseless buff for the job class. What does SCH need with a single-target Refresh buff? As a "battle tactician," what would a JA-based Refresh do for us that other mage classes wouldn't be privy to have?
SCH isn't especially a MP-heavy job class. Our unique spells ('storms and helices) are actually valued for their MP efficiency. There are definite ways to create a better unique value for SCH, but Auto-Refresh isn't it. It would be neither better, nor unique.