Much will depend on where you work and their policies. When you accept a position, you agree to fulfill the responsibilities/expections of that position. If I hired you...
and had a meduim to large size business - my first priority is the business and being as fair as I can with all employees....per policy. Not everyone understands mental illness and resentment could creep in as to why you are being favored.

If I am a small busines, I would have you set up as an indepentand contractor - within the guidlines the government has put forth. That way you agree to do a job and would be paid accordingly - getting the job done on your terms. For me...I might be working at 6:00 in the morning or 10:00 in the evening depending on how I feel.

I personally enjoy the freedom.

If I found this out about you after I hired you...I might not take that well. I might need a person to fulfill certain obligations and would need to be able count on you.

If it is a small company and they are aware of your struggle and value your work...they probably will accommodate you.

It's a very tough call!!!