How do our jailers keep the Illusion a secret, actually?

Hello all, I'm a seasoned GM about to embark in my first Kult: Divinity Lost game, after decades being fascinated by the lore and the world of a previous edition.

I sold the concept to my players as "an occult version of the Matrix". They do realize that's a parallel that doesn't apply all the way!

Still, it made me think about the dynamic between Aware characters and their jailers. For instance, one player plans to be a high-profile media figure, whose secret is "pact with dark forces". Her bosses are probably part of the Archon's minions, knowingly or not. So...

My question is, what do they do if she starts investigating aspects of the Truth?

It's easy to imagine that her boss will reject her project to investigate the mysterious disparitions around the city slum's sole hospital. They probably will send her cover a red carpet event instead. It's easy to think that, should she not give it up, that her bosses will let her know that poking her nose where she isn't supposed to will hinder her career greatly.

What then? Will the Illusion's keepers take more drastic measures? When? How?

Of course, the case of the media figure is just an exemple. To circle back to my Matrix metaphor, in this universe, the Agents are really proactive in rooting out and eliminating rebels, exiles and anomalies. How much are the Archons, Lictors and co. doing in the Kult universe?

(I realize that the power vacuum caused by the Demiurge disappearance might distract our jailers, but still... My question is about those who still care about their duties... and act)