SE, what is the vision and identity of Scholars?

[Tashim]

Not true, AST does shields OR regens. Scholar does shields AND regens. That's the reason why AST shields more. If under Nocturnal the potencies were the same then where is the extra healing that the pet provides coming from? Whether one thinks this is fair or that it steals Scholar's identity is another topic. For the purpose of healing balance, AST shields need to output more than SCH's. HEALING BALANCE. No need to bring up the cards and support abilities (though for the record, I think The Balance should be toned down to something like 13% ST, 7% AOE).

Noct Astro does have a regen, its just on a 2 minute cooldown.
That pretty bubble... yeah, it does more than mitigate. It also applies Wheel of Fortune, which is a 172 potency regen for nocturnal sect astro, that lasts 15-40s (depending on channeling time and optionally extending it with celestial opposition). It heals for 50% more than Eos' whispering dawn does, and that's if you use fey illumination along with rouse first. It does have twice the cooldown of Whispering Dawn, but typically heals for more overall.