Perhaps you should actually look at the 2 classes skills before creating totally uninformed threads like this? Here is a comparison of dmg just through 30 since you clearly are only focusing on first dinging scholar.
WHM
Aero - 50 + 25 potency, 18s = 200 potency
Stone II = 170 potency
SCH
Bio 40 potency, 18s = 240 potency
Miasma 20 + 35 potency, 24 seconds = 300 potency
Bio II = 35 potency, 30 seconds = 350 potency
Ruin = 80 potency
Energy Drain = 150 potency
WHM have a dot ticking for 25 potency, SCH have 3 dots ticking for 150 potency. Of course the math gets more complicated due to cast times and initial damages and whatnot, but you get the point. You are simply completely wrong, SCH actually does more damage than a WHM. Also SCH has access to Cleric Stance as well (along with Aero).
On top of doing more damage they also have a fairy auto-healing them the whole time so they don't have to stop casting ever.