You don't have leverage. This is true for CL everywhere as far as I know. CL is a money losing program, and the fewer people they hire the better, as the value of preventing readmission, etc. is difficult to assess.
These issues are sort of piecemeal symptoms of a larger problem: extreme level shortage of outpatient psychiatrists nationwide.
It appears that CL psychiatry tends to be done nationwide as 1) part of "service" that a private psych group provides to the hospital in exchange for a steady referral source. This is more common in the Midwest/low density areas, since referral for outpatient psychiatry for insurance based patients in any major metro is a complete joke (i.e. don't need it.) 2) academic "mommy track" jobs given to women and other underprivileged groups who don't negotiate and want a fixed hour job.
^^ 50% protected time and no grants, your salary will be $0, not $120. LOL.
Clinician educators are getting a pay raise into the high 100s, because universities realized that people never stay longer than 1-2 years and they have very high turnovers. Meanwhile, chill outpatient group jobs are starting to pay in the 250k+ range (as the poster noted above in Chicago), so the exodus continues. Clinician educator jobs (some are CL based) are being filled with women and other underprivileged groups who have no geographical flexibility and don't "need" to make more money. EVEN THEN, I'd say a lot of women I know are leaving, since part time private group gigs, especially at integrated systems (i.e. Kaiser) are often better for this kind of purpose (mommytracking). Academic departments are starting to have problems growing because of the massive shortage. It's becoming more common that the only real reason that you'd stay in academia is to do research, which cannot be done as part of a private group. And given NIH funding drying up, that's definitely not growing either. So more recently "creative" strategies have emerged on the academic scene, where departments are opening up clinics that charge cash only for full time junior faculty (but charge them a heavy "dean"/overhead tax), once upon a time an extremely rare phenomenon, as academic staffing was conventionally salaried, not performance based. Medicaid clinics that used to be academically affiliated are sold to private mill-runners. State and local systems are losing academic affiliation. In essence, academic departments are trying to cross-subsidize money losing research/insurance based practice with private $$ from relatively "wealthy" individuals. Cornell pioneered this and it's starting to disseminate across the country. Frankly I'm not really sure how ethical this is, given that the whole point of a faculty practice in my mind is to discourage tiering of healthcare. But I suppose given the world as it is, we have to die or adapt (#America!!)...
Academic hospital executives and psychiatry department heads have very different priorities. Hospital-driven psychiatry is a cost center (i.e. CL). Psych patients are high maintenance and have bad insurance, damage QA metrics (frequent re-admit, complain, bad patient satisfaction, high complication rates from surgeries, poor compliance, etc.) so hospital CEOs want to keep them out. What better way to keep them out than not have any outpatient psych service or artificially clamp down the amount of services you provide? It's very often that hospital discharges from academic centers having very difficult psychiatry placement, which angers rank-and-file, which then goes back up to the chair, to whom the Dean/CEO gives the middle finger... Hospitals don't want to subsidize psychiatry departments because procedural departments are vastly more lucrative and are always paid by 3rd party payer. Psychiatry is like a little sideshow line on their balance sheet that they just prefer to not think about.
That said, the style of a typical "old school" clinician educator job is very different compared to a private group job. These jobs are very similar to state/VA jobs, sans "teaching". People avoid seeing patients. Clinics are half empty. Consults are routinely rejected or 'curbside/over the phone'. You have the leisure of having a cup of coffee when you want, and universities will always float you regardless of how "unproductive" you are. It may be a very good fit for a lot of people.
Just telling like how it is...