I actually like all the DoTs, I think a lot of people underestimate the value of them. However, I do agree that the class doesn't place enough importance on your summons. When I first read about the class I thought it was going to feel very similar to using a Red Mage in FFXI. It is similar but it feels like a watered down version of what a RDM could do.
I think adding a unique aura to each pet would be an interesting feature. For instance: Garuda's could deal DoT damage to any enemies in it's aura, Titan's could grant a damage reduction to enemies, and Ifrit's might give allies a bonus to their attacks. This is something that could add more focus on the summons and benefit the entire party.
More than anything I'd like to see more pet abilities. It would be nice to have a buff or two available like regen or some kind of dmg booster and I'm dying to have some CC added to the class. We get bind, but that's about it. I'd like to see us get some sleep, paralysis, or slow at least.