Because we can. Support is there for those that can't. Think of it like the benefits system, rather than like the NHS. You pay for it, but would only claim/be entitled to claim if you NEED it.
If either of us get there and despite all our careful planning, we simply don't have enough. Things happen, we might need care sooner or for longer than we imagined. That support will be there for us if we NEED it. I am really not sure why that doesn't make sense to you. It doesn't make sense to ME for the government to pay for my care if I can pay for my own at the end of my life. It's not like I am going to get better and need that money to live on in the future, is it?
I mean, I get people want to leave it to their children, but there are other ways you can help to ensure your children don't need that money when you die. I don't expect an inheritance, myself.
I just don't understand the desire to cling on to money you won't need where you are ultimately going, just for the sake of someone else not having it. Because that's what it comes down to, when all's said and done.
That said, I do think there should be an NI scheme for this. I just doubt very much that the types of people who are looking for ways to hide their money so their kids can inherit are going to be keen on the tax increase to do that. And there will still be people who haven't paid anything in, and we'd still be talking about 'why should they get this. They haven't worked' etc.