I think BeHappy is onto something. It really does come down to individual organisations.
After years of the matter being known by my boss (and after 6+ years of unblemished performance), it became a stick to beat me last year. Today, I started freelancing for a former workplace: to say I was welcomed back with open arms by my new boss (someone I used to manage!) is no understatement.
Some organisations in the not-for-profit sector talk about it but, when it comes to the crunch, bleat 'Oh, we're an NFP, a small organisation' and would rather go through the same problem time and again than change their attitudes. I think it depends a lot on the personalities in charge. If there's a cult of personality at play where a single person has been CEO for, say, 15 years you're in a lot of trouble.
In my case, as part of the process (I feel like I have been processed, a bit like meat) I made suggestions about what would help if I returned from indefinite leave. They weren't well received.
In NFPs with a health focus, you'd get a better response probably. In many large companies, the HR department is also well informed. Somewhat paradoxically, large law firms are also leaders in this stuff. But a lot depends on your own manager.
The other thing about large modern companies in the information and services sector is that you can bank on the organisation getting restructured after a while so that reporting and admin lines change. So, if you're having a terrible time from your boss, wait a bit and things might change. Unfortunately the same also applies if you have a boss that understands your situation and works with you.