Adloquium, when it does not crit, heals for a total of 600 potency, which is 100 potency less than White Mages Cure II and 50 potency less than Astrologian's Benefic II. Scholars also have no trait that would give extra effect to Adloquium (free cast for Cure II from White Mages or guaranteed critical for Astrologian). More, White Mages get lillies on top of everything. And even MORE...the 300 "healing" in the form of shield can be wasted if the target will not be hit in the next 30sec.
There is absolutely no reason why Adloquium shouldn't cost around the level of Cure II. Succor around the level of Medica, maybe even a bit less, but that'd be a stretch in higher content. Especially since Scholars are worse in mana regeneration now than they were (and the cake goes to White Mage).
As for cooldown reduction, it is a powerful effect. The Spear sucked simply because it had vastly better competition, not to mention, it was an outside reduction. In the time The Spear was active, the person could have all their cooldowns...on cooldown. So it was often wasted. But lillies will be there the whole fight until you actually use them and they will affect the relevant abilities certainly. If you think that 12sec reduction on Assize is irrelevant then clearly you didn't bother to do the math.
In a 10min battle, you would cast normal Assize 10 times. With three lillies, you would "cast" it 12.5 times. That's 3750 potency healing and damage instead of 3000, and 125% mana regeneration instead of 100% mana regeneration. You can cast 25% more spells within the same 10 minutes, just on that. And there is zero reason why you couldn't have three lillies for every cast of Assize, even without having to go bonkers over it. In normal dungeons with normal mobs, there are times when I end up generating six or seven lillies over the span of a minute, just cause the tanks gather multiple hard-hitting mobs. And boss fights offer enough damage to be healed through.