Perhaps low level may not make such difference with the stats, but I doubt that in level 400 or above. Besides, having all these skills do not make you a full support.
I just don’t see a pure Full Support, as in this game. You are not aggressively healing people, but passively landing a heal and allow people to walk over (even Mass Heal has a small range). More than often, I put multiple heals, and they don’t walk to it. Thus, support becomes secondary across all class, and the whole group needs to have a party mentality in order to make this work, which I is something I prefer as well.