Direct comparison.
My DPs rent social housing and have no significant life savings. If they need to go in to care it will be one appointed by the local authority that can get the best deal.
On the flip side, DH and I own our own home and have business assets that will serve us well in retirement. If we need to go in to care, we'll be able to have the home of our choosing.
My DGPs went in to care homes provided for by the LA and my DH's DGPs went in to ones of his family's choosing as they much were better off and could afford the £2k a week home one of them ended up in.
The difference, IMHO, is very obvious.
I would much prefer to own my own home now, with the stability that that brings, and have a wider range of options available to me in my later years.
My DPs are at the mercy of their landlord and won't have as much say in care provision later, unless I step in and financially help out, which is difficult as I'm currently asset rich/cash poor.
As PP have said, it ultimately works out cheaper to buy a property. When we bought our house our mortgage was £1,200 a month and the rented property next door (same size) was £1,250 a month. Since then, our mortgage prices have remained the same (until our current deal runs out!), but in the meantime our house has increased in value by some £250,000. If I want to rent the house next door now, it would cost £2,500 a month.
Ultimately, I don't think it's wrong to have to pay for your own care home fees. Why, just because you've got old, should you not have to pay to live any more?