Only read the first page.
OP, YANBU. Carers allowance is risible, and downright insulting, tbh.
I have 3 disabled children. I care for them, and could not manage a job around their needs (all at different schools, plus SALT, OT, paed appointments, as well as keeping on top of paperwork, managing statement (now EHCP) applications and reviews, and so on).
I am, to be frank, run ragged. My eldest has been, for a large part of the last year or so, in need of 2:1 care. She gets this at school (because otherwise her teachers/support staff are in danger) but I haven't a hope of getting it at home. That £1.75 an hour isn't going to get me very far in hiring an extra person (at circa £14/hour for someone with the necessary experience), and so I manage. Yay me. And that's before attending to the needs of the other two, or doing any other household task like, ummm, making sure we all have clean clothes or food on the table etc.
As my eldest gets older, if she needs to go into an residential school then she will cost upwards of £200k per year for the placement and 24/7 2:1.
I think, somehow, that the government is getting an extremely good deal out of me. And that double (or triple, potentially, in my case, or even a bloody top up) carers allowance would still work out cost effective 