Today the government announced tax increases that would pay for social care costs such that you should not have to sell your home (to pay for those costs). That said, the scheme is planned to start in October 2023 and each person could still pay up to £86k towards their personal care.
Often where a couple are living together, when one becomes ill the other provides the care (for the most part). However in a worst case scenario you could end up paying up to double the £86K figure.
With today’s house prices, paying out £86k should leave a reasonable amount of equity (in a mortgage free property) to pass on to your children.
As others have said, take professional advice on your situation. But equity release schemes seem a bad deal to me based on the interest rate charged, given that they are guaranteed to get their money back with no possibility of you defaulting on the loan.