By actual pet job I mean something where you do more than sending your pet on AA throughout the fight like the current summoner does.
Removing the pet from the SMN kit would barely change the way you play the job. Just teach SMN radiant shield / contagion and allow it to proc ruin4 from dots tick and it's 95% of what the current summoner is.

I would like a job where you actually manage the pet.

As a side note, I would like SMN to be reworked with more demibahamut like spells. (imo) this is what à summoner is about, à powerful being comes for a short period of time, deal high dmg then leave. Demibahamut is the closest thing we have from what summoer should be