I have only just begun to heal as a scholar, but even now I can see some of these glaring issues, mostly with the pet ai. One slight fix I have for the pet's stance toggle is that I stuck steady on an easily accessible hotkey, and whispering dawn, so I can tell her to use the aoe heal and tell her to go back to steady before she bombs the magic reduction cd. If I am fast enough that is! This shouldn't be what I have to do though, I feel like SE dropped the ball on pet control.
As an old wow healer as well, it is easy to compare the white mage and scholar to holy and disc priests. The difference is that disc priests in wow have LARGER shields than heals to accentuate that as their main mechanic. they are huge, noticeable, and with the recent patches easier to see in raid frames exactly how much of your shield is left before it breaks (god how I miss seeing incoming heals on my bars).
