I think this is simply untrue.
My gran died in her 90s; my mum looked after her in her later years. District nurse came in daily towards the end of her life. Cost to my gran: nothing.
My uncle died in his 70s of cancer, in hospital. Coat of care: nothing
My dad died in his 70s of cancer. Cost of care: nothing
My mum in her late 80s, aneurysm, otherwise fully fit. Cost of care: nothing.
My aunt died if cancer in her 70s: cost of care nil.
My DH’s gran died rapidly of cancer, age late 90s: cost of care nil
My dad’s mum dropped dead of a heart attack, cost of care nil
My dad’s dad had Parkinson’s and was cared for at home by family until he died, cost of care nil
Literally no one in my family or dh has needed care home.