Keltham gets that Golarion doesn't have the incredibly convenient universally connected devices that Civilization uses to run all of its corporations and government. He gets that. But the fact that people were walking around knowing that Cayden Cailean had intervened on his project, authorized to tell Keltham this if he asked, and the thing ended up waiting until he asked, seems like the symptom of some deeper organizational mis-structuring whose details Keltham cannot guess. It means that Cheliax is underperforming what should be possible to do even with the technology that it has.
It is plausible that Keltham should literally just look at the administrative structure above himself, rip it apart, and put it back together the way it would be put together in Civilization.
But the general mode of operation in which he still has never been invited to meet the site manager on this project, been told a budget for it, shown the names on the chain of command leading up to Abrogail, et cetera, all seem suggestive of some kind of motivated illegibility in which somebody somewhere thinks something bad will happen if Keltham can access all that info or they are incentivized against it by flaming farts know what kind of bizarre payoff function.
He does not think this is because Cheliax is plotting dark plots against him, to be clear, because if they were plotting, they would show him a fake organization above himself, rather than leaving him in a bizarre limbo where he does not know who is actually managing this project, and his only actual conversation with anybody he knows to have any authority over it, was that time he spent half an hour sitting next to the Queen of Cheliax watching her feed tiny crumbs of food to fish, and this is not a scalable solution.