I just went to the Pegasos webiste and looked under their frequentloy asked questions are following is one of them with their answer:
"Does Pegasos accept young, depressed, or suicidal people?"
"Pegasos does not accept young people with depression or other severe mental illness. Rather, Pegasos will refer such applications to counselling services such as those
published on the Pegasos website."
"Do you accept people with mental illness?"
"Mental illness is a vexed issue. At Pegasos we believe that you can still have mental capacity even if you suffer from long term depression. The most important thing is to tell us of your mental illness and then we can work with you for the best outcome."
So if you are older with long term depression they might accept you, but not if you are younger.
"Does Pegasos help well people to die?"
Pegasos believes that for a person to be in the headspace of considering ending their lives, their quality of life must be qualitatively poor. Pegasos accepts that some people who are not technically 'sick' may want to apply for a VAD. But this does not mean the person is 'well'. Professor David Goodall was one of these people. He was not sick but his eye sight was failing him, as was his mobility. Old age is rarely kind. The decision to end one's life is an intensely personal one. Pegasos makes every effort to understand fully the unique circumstances of everyone who makes contact with us.
So taking this all into account it appears that people will not be accepted for depression unless a person is older and has physical health problems that make their life "qualitatively poor".