Yes, how dare people try to maximize efficiency on content! How dare they.
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SCH is the only one of the three who can do consistently high AoE dps throughout a dungeon without mana issues. WHM has the highest burst AoE, sure, but it peters off quick and they're forced into a situation of low Mana, even with Assize and Shroud, because of how much MP Holy drains.
WHM has the highest single-target dps of all three healers
SCH is easily the king of AoE with any pull that's less than ~5 or so, due to Bane's diminishing returns, and very rarely do you run into many pulls in the current dungeons that exceed that threshold.
I haven't played AST, so no comment, though when my friend plays it and feeds me Balance+Arrow, things die real good, so that makes it so maybe they're good? But uh, 15% of my dps is still less than half what either other healer could bring to the field, instead, and Gravity costs the same as Holy while doing the same damage, but AST lacks A3, Assize, and ~7s of constant party stun. Their stun is nice, but on a cooldown and not as long.
I'm torn between SCH and WHM. WHM is way easier (pop hots, dps!) while SCH is really beholden to how well the tank rotates CDs, since a tank who uses them is invincible with a Fairy, but one who doesn't will die real quick without shields. I alternate, but I lean toward SCH, since I like the class more, even though I think WHM does it all the most efficiently (if you know what you're doing and properly manage MP)
Depends on the level of the 4man's. Lowbie dungeons sch is my favorite, you can stay in cleric while Eos covers all the healing and you dps or just put /follow on the tank and go watch some tv, possibly make a snack, or go read that book you've been wanting to catch up on.
WHM hands down has the best aoe DPS and has the highest burst. Assize is just ridiculous with it's 300 potency to everything within 15 yalms. Don't get me wrong, I love the other healers and they're fun and unique in their own way but let's not forget the topic question. The question is not what your favorite healer is, etc. it's "Best healer for 4 mans".
Here's a few examples:
*The 1st boss in Nevereap, just stand in the middle and use Assize when the 3rd wave of feathers come out and they're gone in a second. In a second and 4 adds are down.
*Last boss in Fractal, stand between all the adds, Assize, now they're 1 hit away from getting destroyed(or if you're lucky and get a crit it'll destroy 'em).
*2nd boss in Arboretum, Assize in the middle of adds, Swiftcast+Holy the rest, done.
WHM's shouldn't be having MP issues if you're using Shroud of Saints and Assize at the right time either not to mention Divine Seal+Regen and Asylum is great for sustaining the tank and Tetragrammaton is a free big heal available every pull. Let's not forget Benediction and how it can be used in Cleric's Stance with no penalty. Divine Seal+Regen is amazing and should be used every pull but I always see so many WHM's out there that never use Divine Seal at all.
Again, I'm not bashing the other healers by any means, just answering the topic question.
Related note: I DETEST when WHM does this, mostly because I tank as DRK. So, I've just drained all my mana on agro abilities, popped on Blood Price, then the WHM starts spamming Holy and I regain zero mana for the next pull.
To answer the original question, I find that a SCH that does DPS the dungeon makes the runs, generally, the fastest, and I would give that one my vote.