Wow, okay lots to think about. and it's clear who has experience with the job and who is using applied knowledge.

SCH is not OP, can it be considered the best healer when all factors are tallied yes, but they are not OP. In fact when SB launched they were the worst, because so much of our kit was gutted. plus I notice a lot of back and forth between these two.
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To help explain things look at each piece and its counterparts, if one is applicable. For instance, OP mentioned things about raids. I like how she pointed out how OP SCH heals are, but then said in a raid setting they shouldn't really be healing, lol.

Anyway, several people have pointed out how SCH has high raid-DPS and personal-DPS, and this is true, but its not like the numbers are 10 for WHM/AST and 100 for SCH its more like 9/8/10, to illustrate it more clearly; but there are different kinds of DPS, burst and extended. SCH only has the best DPS in extended DPS, which in a raid setting is most common. But WHM and AST have better burst DPS, and although burst phases may be few and far between they exist.

Now how about AoE skills. when SB launched SCH had the worst by far, and AST was always in a gray area until recently, but this is how they stack now. First lets list of categories that each skill might have and rank them 1-3. In no particular order we have: Mobility, Duration, Degradation, Acquisition, Cost, Potency, Enfeeblement, Distance.

Okay, lets start with Potency, the most commonly looked; Holy is 200, Gravity is 200, and Miasma II 100, so simple it would be 3/3/1, but lets look at Degradation next. Holy and Gravity both lose potency up to the 6th enemy, so 1=200, 2=180, 3=160, 4=140, 5=120, & 6=100. That means that at 6 enemies the spell is doing 900 potency of damage, and the same can be said for Gravity; but Miasma II with only 100 is only doing 600 potency, but that's at 6 enemies what if we had 12: 1500 vs 1200, with 20; 2300 vs 2000, so looks like its still 3/3/1. But what about Duration? Miasma II may only deal 100 damage upfront but it places a dot that after 12s deals an additional 100, bringing the grand total to 200, that brings the total up to 1200, 300 more than the 900 from Holy and Gravity; so for Duration its 1/1/3.

But, I'm not gonna stand still for 12s on WHM and AST, I'm gonna cast those spells over and over again, now we get into Cost. Miasma II is 1680, and that's all it will be for those 12s, but Holy and Gravity are 2400 and 1920 respectively. Now lets say SpS gets the GCD down to 2s, you can cast those spells 6 times that's 14,400 for Holy and 11,520 for Gravity. Even with the initial numbers that make a ranking of 1/2/3, but lets alter that some since WHM has access to Thin Air and can cast for 0 MP for a short duration, lets make it 2/1/3. Now when do you get these moves, their Acquisition, Holy is gotten at 45 from a Job Quest, Gravity at 52 also from a Job Quest, and Miasma II is received at 46 nothing else needed, so to rank those it would be 2/1/3.

Next let's check out Mobility. Miasma II is an instant cast so one can always move and cast it, Holy and Gravity have a cast time, but Gravity is able to take advantage of Lightspeed and Celestial Opposition, giving it an Instant cast; so the rank for this would be 1/2/3. But what about Distance, Mobility might not matter depending on the distance. Holy and Miasma II are centered around the caster, whereas Gravity is cast from a distance, so Holy and Miasma II have different needs when Distance and Mobility are combined, 1/3/2. And lastly what about enfeeblements these skills may cast on the targets. Only Holy actually has one, barring Miasma II DoT, so this tally would be 3/1/1.

Lets see how things fared? WHM/AST/SCH

Potency: 3/3/1
Degradation: 3/3/1
Duration: 1/1/3
Cost: 2/1/3
Acquisition: 2/1/3
Mobility: 1/2/3
Distance: 1/3/2
Enfeeblement: 3/1/1

Making the final tally WHM:16 AST:15 SCH:17

Now admittedly when I did this I wasn't expecting SCH to be the winner, since Holy is generally considered the best AoE healer skill. but this "little explanation"(since it's not little at all, lol) shows how there is good and bad to each skill and how if you look things over there isn't too much difference.

Could SCH get some adjustments, yes, but what job doesn't need adjustments, there are still a good number of SCH skills that need fixing, Selene, Dissipation, Deployment Tactics, Emergency Tactics, Eye for an Eye, and to a degree Ruin II but not cause of a utility purpose.

I'm not saying someone can't think SCH is stronger than the other healers but, you need to explain why you feel its stronger, don't use raid data, use experiences and other more personal sources. Explain why you feel it's OP. I'll give a little hint, the reason WAR and SCH seem OP, isn't cause SE favors them or the job is broken. It's because their jobs are and have been solidified from the start, in comparison to the other jobs. Not to mention since these are Tank and Healer positions of course they will be scrutinized a lot more.