Hi JJ
People can work and claim PIP, but you can almost guarantee that the assessor will focus on their ability to work. So make sure you have a list of all the difficulties when they were able to work. Then push hard on the fact that they have been unable to work because of the mental health issues.
I hope it goes well, and I hope that you have asked for the assessment to be recorded. If you haven't, make sure that you record the interview covertly.
BIS
Nothing on this board constitutes legal advice - always consult a professional about specific problems