Absolutely, there is a distinction. When people face hardship and extremely difficult circumstances, the suggestion that the best thing to do or that one of the options is to end their life can take roots of its own, I think.
Irrespective of the reasoning behind the recommendation, it can become coercive. These proceedings aren't happening in a vacuum. They're covered in the media. People are aware of what's happened in Carter, and people are aware that on some level there is a right, as stated by the court now, to seek physician-assisted death.