In my experience, likewise, no one cares for the carers. I have been a full-time carer, with zero family or community support.
When I talked to a social worker in palliative care about how badly I was burning out, she suggested I join a knitting group. I didn't need an ugly sweater, I needed someone else to clean my bathroom or cook a meal or do a load of laundry, even just once.
It was years ago and I am still dealing with the burnout.