I'd be okay if the current SMN became Necromancer with a focus on DoTs, plagues, and changed the pets to become spirits, skeletons, zombies, and other horrors. I'd be perfectly fine with that. Then implement SMN as a new job with an actual focus on real summoning.

Or give us Puppetmaster for a big focus on the pet.

Or give us Beastmaster again for that nice axe-and-claw action.

SMN is a fine enough job as it is, but it doesn't feel like a summoner at all. For example, Ifrit has his own summoning action icon. Garuda and Titan are just Carbuncle since they just made the old spells summon the egis. You can tell how little they actually care.