Part 1: There not a lack of healer it the fact that healing is one of th hardest jobs in XIV and If we have different type of healing jobs It would have to be a Hybrid Healer, Like the Ninja of healer, They Heal great but its simple like SCH but Buffs other healer as well.

Part 2:I like your thinking but a Specialist sounds odd, like they have music buff heals for tanks, melee, and range. could be either be like or end up being the Solo heal, Cure III, and Media.

Part 3: I love cats, but Cat people, I'll pass, Togal (The Last Remnant) is what I want and Dual Power-Grip is what I want