I have both Scholar and White Mage to 50 and can say that I am impressed with how balanced and different the healing classes are, in addition to their synergy. Your post makes it sound like when comparing 1 to 1 that WHM cant compete with SCH which is wholly incorrect. WHM can heal every situation that a SCH can and vise versa, though not necessarily with the same ease. This is part of having strengths and weaknesses. Outside of the thread I originally created I try not to plug my youtube channel but I highly recommend the following two videos:

WHM Mana Management: https://www.youtube.com/watch?v=zLORT_o5NGU
WHM Guide to Spells: https://www.youtube.com/watch?v=ak0nrdkii-Q

Your views on mana management for a White Mage are off base because you are treating Shroud as a core component when it is not. Shroud is a mana safety net and emergency aggro dump. Also part of healing on a white mage is knowing when you are going to struggle because of your weakness (double wicked wheel) and planning a strategy accordingly (burning extra cds or better hot and and damage mitigation prep work). There is no point in directly comparing the jobs spell to spell because the design of each is so different that the tools aren't going to match up 1 to 1. What you have to look at is the larger picture and when you do you will see that, while there are some odds and ends that could use some tweaking, overall both healing jobs are in a pretty solid state at this point.