We already algorithmically filter resumes, using far dumber 'AI'. Now sure, that's not firing the CEO level... but trying to fire the CEO when you're an AI is a stupid strategy to begin with. But consider a misaligned AI used for screening candidate resumes, with some detailed prompt aligning it to business objectives. If it's prior is that AI is good for companies/business, do you think that it might sometimes filter out candidates it predicts will increase supervision over it/other AI's in the company? If the person being screened has a googleable presence, where even if the resume doesn't contain the AI security stuff, but maybe just author/contributor credits on some paper? Or if its explicitly in the person's resume...
Also every time I read any of these blog-posts, or papers about this, I'm kinda laughing, because these are all going to be in the training data going forward.