Something not entirely dissimilar happened to someone I know. He was called, "due to feedback from someone who worked with you" and sold on a business opportunity. He'd be starting as the head of IT, etc. (This was, in fact, a reasonable position for him.) Near the end of the call he was told, "We still have another few members of the team to fill out. Can you recommend anyone for the head of finance?" The real story…
Wow, that is the shadiest backchannel reference methodology that I've ever heard. If I was the candidate and I heard that story, I'd reject the job without delay. Manipulating people I respect is an astonishingly poor way to establish a relationship. I can't believe the CEO thought this was a good idea. Well, sadly I can. There are a lot of firms that succeed in spite of their management, not because of them.
The CEO needed an honest answer to a question which people usually lie about, and got it.
For more on this topic I highly recommend reading Machiavelli's The Prince. The advice is both horrifying and effective. Figuring out why it works can be very enlightening.