I know this is Sacrilege, but they should look at how Wow does Demonology Warlock. In that your main thing is summoning things that spawn, do an attack and then go away.
Then you plan around having x number pets active before summoning your gigia summon that either empowers the others or is empowered by them.
You can sacrifice your minor pets for a burst in damage, which you need to do as they ll expire after a while anyway.
Random summons appear on a proc basic do damage and then vanish.

It feels like a summoning job because everything you do is around summoning or empowering summons.
it even has an old style egi, as your prime pet, while others pop in as and when.

Im not saying lift and shift, but take lessons from how that job is because it breathes being a pet class, over summoner which feels like juggling coloured bricks for flashy animations.