Sounds like something the hospital would not end up being happy about, and would jeopardize Teamhealth losing its contract with the hospital down the line. If Teamhealth is cutting staffing or by replacing physicians with NPs (in states that allow independent practice), the short term cost savings will only benefit TeamHealth and its investors, and not the hospital. The hospital, on the other hand, will get hit the downstream issues of poor staffing like NPs ordering more tests (which has been shown in studies to be the case by independent NPs vs physicians in the ED), the costs which the hospital will be eating. Also more patient safety issues and errors will come up with NPs, which will increase the number of lawsuits the hospital gets named in. Though as far has I know, the latter hasn't been well proven in a study yet, and maybe that's why hospitals still aren't as hesitant to replace physicians with independent NPs yet until the lawsuits start coming in several years later.
For many hospitals, probably better for them just to hire physicians directly instead of contracting with a CMG. The CMG is essentially another middleman and their only incentives are to turn a profit in the middle and do the minimum to keep their contract with the hospital. And when malpractice lawsuits come up, they seem to be less often named in them (usually the named parties are the physicians involved and the hospital).
I don't know how to explain this to you, but hospitals make more money when NPs order more tests and admit more patients, as multiple other posters have explained in painstaking detail