The problem with insurance schemes is that, unless it is state backed, it is very difficult to organise. Few/no insurance companies want to offer these policies because they would either be so expensive no-one would take them out, or, if they reduced prices they might well end up with making an enormous loss on them.
The insurance companies did introduce some products, I think about 15 - 20 years ago, but there was very low take -up because of the cost and, with lengths of time in care lengthening with the increase life expectancy, some got their fingers burnt when they ended up having to pay out far more than they have expected..