short term AOE HPS:
WHM: Cure III (550/2.5s) + Buff for Cure III from Plenary Indulgence (200/2.5s) + Regen from Medica II (100/3s) + Regen from Asylum (100/3s) = 366.4/s
(The number is actually higher due to Presence of Mind)
SCH: Succor (405/2.5s) + Regen from Whispering Dawn (80/3s)+ Regen frorm Sacred Soil (100/3s)= 222/s
burst single target potency:
WHM: Afflatus Solace + Assize + Tetragrammaton + Divine Benison + Benediction + Afflatus Solace = 100% HP and 3000 over 6 uses of actions of instant cast time
(100% HP is about 1800 for DPS and healer roles, 2700 for PLD and DRK, and more for WAR, and only two Lily actions are used because there are not enough instant healing actions to fill between the 2nd and 3rd Lily action)
SCH: Excogitation + Buff for Excogitation from Recitation + 3 Lustrate + Aetherflow + 3 Lustrate + Dissipation + 3 Lustrate = 6600 over 11 uses of actions of instant cast time
burst AOE potency:
WHM: Assize + Afflatus Rapture + Buff for Afflatus Rapture from Plenary Indulgence =900 over two uses of actions of instant cast time
SCH: Indomitability + Buff for Indomitability from Recitation + Fey Blessing + Summon Seraph + 2 Consolation = 1633 over 4 uses of actions of instant cast time
( Buff for Indomitability from Recitation is assumed to be 200)
In addition:
Maximum amount of shield for single target (buffs like Dissipation and Fey Illumination are also considered)
WHM: Divine Benison = 500
SCH: Adloquium + Buff for Adloquium from Recitation + Buff for Adloquium from Dissipation + Buff for Adloquium from Fey Illumination + Seraphic Veil + Consolation = 1796
(SCH also has a 10% damage shield from Sacred Soil)
Maximum amount of shield for a group of targets (buffs like Dissipation and Fey Illumination are also considered)
WHM: N/A
SCH: Adloquium under Deployment Tactics+ Buff for Adloquium from Recitation + Buff for Adloquium from Dissipation + Buff for Adloquium from Fey Illumination + Consolation = 931
(SCH also has a 10% damage shield from Sacred Soil)
In conclusion: based on the numbers, WHM is better at long term single target healing, long term AOE healing, and short term AOE healing; while SCH is better at burst AOE healing, single target shielding and AOE shielding. In terms of short term single target healing and burst single target healing, the two are about the same
Please help to correct me if any of the details is wrong, thanks!