Sure, but he needs to be able to do this without interfering with the rest of the business, very little of which has to do with ebooks or even content deals. If he can't do that, he is the wrong person for the job.
That he's "interfering" is entirely Apple's version of what's happening. All we know is that he's tried to schedule meetings with Tim Cook, etc, which is entirely appropriate in an internal investigation and can certainly be done without "interfering" with the rest of the business.
Lying would be if Apple said that Bromwich demanded daily two-hour meetings with Tim Cook when he in fact had not. Saying that Bromwich is "interfering" is merely characterization. One man's "interfering" is another man's "getting an executive to spend time on an issue he doesn't want to deal with, but which he is obligated to do so." You shouldn't take a characterization at face value, not when it's made by an interested party.