Not ruling out your theory by any means, but I have a different one. Bondi and Patel simply cannot get either the FBI or the CIA to give up the information. Too many people within the organizations these administration officials control simply refuse to do what they are told to do for a variety of reasons mostly boiling down to they hate the administration and are determined to thwart them. There are simply too many people to fire and they know too much and are likely good at their jobs and needed.
Could be—one of my many issues with Bondi and Patel is that they have refused to make the massive body count reductions we have seen in other agencies.