If I was hindered at performing the important aspects of my job? Of course I would change jobs. in fact I have done exactly that. I have hired an executive head hunter and found another job. Dolson has a strong CV, I'm sure, and he could do it.
If you're comfortable being completely neutered at your job, then have at it. I wouldn't put up with it. I don't for a minute think that Dolson is limited in his job prospects. He wouldn't be working at Walmart if he left IU. LOL.
But, this is all speculation. He may actually support keeping Woody. He DID hire him, after all...