I don't like it.
- The Influence requirements make no sense. First, let's look at the Inquisitor elite advance. That requires 75 Influence. From that, we can assume that even the most lowly of Inquisitors are at or above the 75 mark. Now look at the requirements to call in an Eversor Assassin. 60. Significantly below even the most junior of Inquisitors. And yet, in the fluff, it officially takes a High Lord of Terra to approve an Assassin's deployment. Often Lord Inquisitors of the Ordo Sicarus break that rule, but it's absolutely not within the power of someone who's probably a junior Interrogator at best. Also, a Canonness, someone who commands at least several squadrons of Sororitas, is significantly easier to acquire the help of than a fairly typical Tactical Marine? What?
- Why does it cost Influence to acquire the help of these guys? I can understand it from a balance point of view, but I don't really see the fluff justification. It doesn't seem to make much sense to me that you're damaging your reputation by using your assets. Do the other Inquisitors gossip about you?
- Why is the bar set so high? The 'cheapest' Reinforcement is a Cannonness. This makes the system totally useless for low level play. Where's the option to, say, call in an Arbites team when the group's a bit beyond their depth? Storm Troopers? This system would benefit from low ranking options, a lot.
- Finally, my biggest issue with the system; why is it based around recruiting singular individuals? I think the system would be much more fun if it had more of a focus on the whole party taking the role of Reinforcement characters for a session or two. Call in a Deathwatch strike team to clear out a Genestealer infestation, or a squad of riot shield toting Arbitrators clearing out a hab block. I'd find that a **** lot more interesting than the current system, but bringing in a whole squad of Reinforcements is prohibitively expensive as is.