Consider from the wiki page:
1) Weapon's spread cone can be shrunken by zooming in.

2) Primed Quickdraw/[Stunning Speed] is a must to compensate the slow reload speed of the [Akbronco Prime], in order to maintain a decent DPS.

3) Using a maxed [Seeker] mod is recommended to upgrade its status spreading capability."

Addressing 1):
This is a hint from the wiki that implies that zoom mods are better than accuracy mods. The new "on ___" mod set from Cambion Drift is also a hint towards this mod set by DE. [Targeting Subsystem] is perfect for addressing the akbronko prime's shitty range and low accuracy as an akimbo shotgun weapon. Also suitable is [Lethal Momentum], however I have not tested the two because [Targeting Subsystem] just seems straight up better. Synergy with [Pressurized Magazine]. [Pressurized Magazine] is used to produce the proper burst dps numbers, and synergizes with [Targeting Subsystem]. As long as you empty your clip within the 9s time frame, you solve this weapon's most crucial problems of low range and accuracy, and give yourself fire rate higher than [Gunslinger], without the 15% damage penalty from [Anemic Agility] as well. Truly bourgeoisie *sips wine.

Addressing 2):
I simply put reload speed on my riven. Because of [Pressurized Magazine], I feel it's better to just increase your reload speed, because every time you reload you reset the 9s cooldown.

However, for much more burst dps and for those who don't care about the 2.3 reload speed, I would switch this riven stat to magazine capacity. In this case, you want the increase in magazine capacity to make up for the slow reload speed. This rubs me the wrong way because this build is focused on burst dps, not sustained dps. However, if you have a high enough fire rate and a small enough magazine with fast reload speed, which this weapon already starts with a small magazine size anyways, you should be able to blow through your clip so fast that you will never lose the 9s [Pressurized Magazine] and [Targeting Subsystem] buffs so who knows. You would still have to reload all the time though, and without reload speed at 2.3 s the dps increase probably isn't worth it anyways. Nobody wants to always reload their secondary.

Think of it like this: if the riven provides the reload speed, then pressurized magazine provides the fire rate and targeting subsystem provides the accuracy/range. Boom.

Rivens are meant to patch holes in your build, and the on average 67% that the riven disposition gives is more than [Quickdraw], but less than [Primed Quickdraw]. It saves me a mod slot but still gives me the reload speed I need. A happy medium.

Addressing 3):
My hope is that [Jolt] and [Pistol Pestilence], when combined with the high fire rate of [Pressurized Magazine] and the reload speed positive feedback loop I fit into this build from my solution to 2), will be enough to not need [Seeker]. Otherwise this build might need to be revised from scratch or tossed aside completely.