I should also mention that it isn't as simple as the availability of jobs and shortages of labour, as anyone not hard of thinking should be able to work out.
My DS is currently taking a year out from university. He receives high rate PIP for both aspects. He also works 22.5 hours a week. He has hypermobility, chronic pain, chronic fatigue, autism and depression, and uses a wheelchair. He's doing brilliantly. Now you might think this is a case of 'well, if he can do it, anyone can'.
But he has an employer who is genuinely serious about making appropriate adjustments to the work he does, an employer who is flexible around his needs, an employer who is willing to adapt the mandatory training to suit him and the impact of his disabilities on his work environment. Jobs and employers like his are like hens' teeth.
It isn't as simple as 'oh, there are lots of jobs'. There are not enough jobs which work for people who have physical and/or mental ill health issues. There are not enough employers willing to take people like this on and genuinely give them the opportunities they need. And that is the problem that needs to be addressed. Yes, work is good for people. My DS has absolutely blossomed. But the jobs have to be the right ones and the employers have to play their part.