You don't heal dungeons by relying on Embrace and Physick. You heal them by relying on Excog, Rouse+WD and Fey Union.

SCH is the only healing job that you have to actually be good at to fulfill your main role properly, while WHM and AST can get away with spamming one healing button. I'm not making assumptions about your playstyle, but to be efficient on SCH you gotta know the kit inside out.

Other than that, I agree with what some other posters have said. If SCH's buffed anywhere beyond its current state, WHM will disappear completely from the more serious meta. If anything, they could buff the damage fall off from Bane, but anything other than that I'd be hesitant to do.