I do see some value in this line of thinking. I would not be opposed to healers getting better rezzes. For example, it seems just busy work to fill up an HP bar after rezzing. Wouldn't be the worst thing if a healer or all of them rezzed to full HP.

I think a more fun option would be to give them different heal bonuses to rezzing. SGE grants a bulky shield after rezzing. SCH grants regen after rezzing. WHM rezzes to full.

And AST can just jump ahead in time to clearing the boss because I guess RNG and challenge doesn't matter to that job anymore.