The refrain heard on the radio is a solicitation to discover how to avoid payment to a nursing home. The radio announcement doesn’t mention an unpleasant fact. In order to owe the nursing home you or a close dependent will have to be in it. If you are in it, you are likely to be out of it. You will have a bed and be fed and have someone to clean up after you more or less depending on how far out you are—that is what the nursing home does—something that no one else may be able or willing to do. Stiffing the nursing home on the bill seems a little much all things considered.
But the nursing home is unlikely to get stiffed for providing you custodial care when and if that need arises. If you cannot pay, the government will. The intended message is that you might be able to keep your house and have the government pay the nursing home, a true statement to a point.