A great example is my friend, who works in a non-technical office job. She has always gotten great performance reviews and gone above-and-beyond because she's very passionate about her work. She's been doing this for over 10 years. Lately she has experienced some pretty severe burnout, and her immediate manager didn't know how to handle it so they immediately punted her to HR for a disability leave.
Of course because HR is involved now there's paperwork and doctors and insurance implications. A competent manager could have navigated the situation "unofficially" and preserved a valuable employee, instead of sending them on a 6 month odyssey of navigating the healthcare system. Ultimately the business got less value out of the employee because she's stressed and has to take a bunch of time off to deal with administrative BS.