I'm not sure what you're asking because unless you are actually a provider billing fee-for-service, you actually cost the hospital money. Since most providers are not actually employees of hospitals, they also usually only generate revenue for the hospital if they admit patients or order services that the hospital can charge for (e.g. - labs, MRIs).
This seems like the most bizarre way to choose a career direction because anyone in any role can be a valuable employee provided they do their job well and don't cost the hospital a lot of money, say, in insurance premiums, settlements, or disability payouts.
I gather your interest is not in being a provider. Really, short of bringing in revenue, your financial benefit to a hospital is doing something worthwhile while costing the least. There's no degree for that. The custodian who does a great job, draws the smallest salary, and never calls in sick or takes vacation fits that bill. Shy of being an experienced healthcare executive with a proven track record of providing value to hospitals, in any capacity they are really just looking for someone reasonably competent who will work for a reasonable amount of compensation.
A much more sensible question, and many e what you were getting at, "would be what roles do hospitals tend to view as valuable and what are the appropriate educational preparations for those roles?" To that I would suggest that two popular areas tend to be healthcare marketing and compliance/risk-management. There are specific concentrations in healthcare marketing in all kinds of degrees (MHA, MBA, MS) but a hospital is more likely to value your skill set rather than the specific letters. The same goes for risk management which you could do with an MBA, JD, MHA, even MPH. Just avoid the perception that you are "over educated" because then they will tend to think you'll want a higher salary.