I havemnt read the entire thing.
BUT
PIP /DLA is one thing, and with 2 children who receive these, not an easy benefit to have. Lots of info needed.
However they dont necessarily equate to LCWRA - I have one child who can only work here and there as some of her conditions mean she has flares of chronic fatigue. She gets LCWRA. She is currently, very slowly, proceeding through a PT degree with a very supportive local Uni who are accepting and flexible around her needs.
My other child would likely not get LCWRA, as with support, he is fit and healthy, and would absolutely be a boon to many workplace who was able to put in that support. The PIP is around his struggles and needs, and reflects the type of support he would need, and is exactly what PIP is for - helping him to have that support so that he can work.
I also know alot of people who do not get PIP/DLA however they do get LCWRA because that is a separate assessment altogether, and most akin to the 'sickness benefit' that most people think of when they are referencing sickness and benefit. It may not reach the requirements of PIP, but it impacts their ability to work - and IF THEY ARE ABLE TO FIX THE NHS/MENTAL HEALTH SUPPORT to get many many of the people who are stuck unable to work because of the delays or actual impossibility of any help to address their problems, then thats only a good thing. I have a family member who is absolutely crippled by an ongoing MH crisis, who literally cannot get seen by anyone, as the bar for access is so high that only a suicide attempt will grant you access. She would love to be better and to return to work.
The problem is the correlation between the two, absolutely different, systems of assessment and criteria by both the government and the public.