I would like to point out that pup can also serve in the role of a nuker as well. (although if mobs are dying every 18 seconds or less this might be an issue due to the automaton's nuke recast timer.) With an "OK" nuker set, amplifiers, ice maker, and the typical mage setup (with only 100 JP gift) my automaton was pulling off 20-48k magic bursts, depending on if i had 1-3 ice maneuvers up. Once i had the timing down though 3 ice maneuvers for every skillchain wasnt terribly hard, although there was only a few seconds of wiggle room. Note this is without kenkonken, so i had to use condenser and a water maneuver beforehand. kenkonken pups would have an easier time of this. My pup is still missing somewhere around 50 pet MAB at the least, as well as 6 magic damage, so its nukes can obviously go higher... I imagine if you had herc with nice pet nuking augments (int, MAB/magic acc) this would climb up further still, as i was using taeon, naga tekko, and reforged pantin feet. I know for a fact that one pup has managed to hit 98k MB (and hit the damage cap using overdrive for fun) so there's definitely a lot of room for improvement. This was also without a geo or cor buffing the party either, as it was just a ls party with a pld, drk, my pup, two blms, and an apururu. we still were pulling in a great amount of JP despite the constant breaks and unconventional setup, haha.
Obviously pup might not be so ideal as a nuker if parties are going absolutely nuts and skillchaining + MB every 10-15 seconds, but they never have to worry about MP running dry. In those cases you might be better off using valoredge to help tank and skillchain with.