I am from Germany and we have an insurance system for funds towards care, it's mandatory, you are paying automatically with your employer paying half. So if you require in-home or residential care, you are assessed and depending on the care level you are allocated funds.
These do not by any means cover the costs.
My mum had to be moved into residential care when she fell so badly that she is now wheelchair bound. She has additional benefits due to my late dad's state employment, so her costs are fully covered with the insurance, benefits and her pension. It's calculated up the last penny she gets.
But - she still has to find funds for clothing, treats, toileteries, books, TV, telephone, hairdresser and medication not covered by her health insurance. So she is paying on average €100 per month out of her savings.
If she wouldn't have the state benefits, she would have to use all her savings less €10K and then apply for social care benefits which do include a "spending allowance" but it's really small.
I come from a decent size town with several residential homes and when we had to find one, it was difficult. My sister worked in one as a admin housekeeper and her employer was always fully booked as well, places go in a matter of days.
So the need is there, families aren't able to do in-home care anymore long-term, my mum cared for my gran for 6 months, the effect on our family life was profound and she always insisted she would never ask for this herself.
I think families need to realise that inheritance is a gift, not an expectation. Property and money may not be there when a person dies.