I wouldn't say they're at threat from AI. Consultancies are most of the time there to partially offload work from the main company, and also to serve as someone to blame when something does not go well. It's rarely about the content itself.
We're headed for even rougher times if LLMs are going to be taken "at their word".
[0] Now, watching her testimony, it seems she was willfully complicit and it's a disgrace that she isn't in prison, but that's tangential. The "system" was responsible, but without personal accountability, nothing will change. So it goes.