Do you just see this on LinkedIn or do you know this person personally? If you know this person personally you should just ask him/her. Don't be shy and socially awkward.
Likely the gig is part-time or semi-retired. There are biz consulting roles that pay better than a corrections psychiatrist, but not many, and usually require a number of years of collecting a book of business, and usually, these are affiliates of larger firms (Big 3, etc). Exceptions exist and people could in theory get into a boutique due to very specific niche expertise/relationships, but that's rare.
More broadly, there are lots of resources for physicians who are interested in transitioning into a non-clinical role. You can Google and find them. Generally, the starting point is not a headhunter in these scenarios.