^ This
During early A12S kills, my SCH partner literally couldn't raise or he would go OOM during the fight. AST had it far better during 3.4, I deliberately ran myself to near OOM at the start of the last two adds but aligned Shroud, Synastry, Lightspeed and CO to ensure I could both solo heal them and regenerate most of my MP back in the process.
You need to understand that SCH in itself wasn't OP. Rather AST/SCH was the best overall healer comp by a rather significant margin (assuming all players were at a reasonably even and high skill level). WHM/AST was generally a significant downgrade in healer DPS whilst WHM/SCH gave up that oh so delicious balance card, not to mention both alternatives had to deal with WHM's comparative MP starvation at the time.