Things are only going to get harder.
I am inclined towards the view that people having to sell their houses to pay for their care is no bad thing. What matters more in the care.
This is a tough situation, one where no-one will be happy because everyone will want the best care possible at no cost, but that's not realistic. General direction taxation (income tax) is the fairest and best way to pay for all things because it is levied according to ability to pay.