> Should workplaces cater to people who are emotionally disabled in some way?
If they don't want to violate the ADA, yes. For example, major depression can be a disability, and employers are bound by the ADA to not discriminate against people with that disability and to provide them reasonable accommodations.
I think we are confusing the casual term disabled with the legal term disabled. Of course employers should work with legal disabilities. We are talking completely about "functionally disabled" such as your arm being temporarily occupied, or you having a foggy brain and can't to math that day.