The information so far discussed is limited to insurance and depletion of capital assets, but no one has mentioned keeping the home, (for a married couple with one going into a nursing home) depleting the assets to the allowed amount, and having medicaid paying nursing home costs. This would allow the remaining spouse to live in the home, keeping a portion of the community assets, and any ongoing income from Social Security.
Instead of trying to explain this here, some time spent on this elderlaw site can help. Financial advisors may, or may not explain this. Facing the situation, going to a lawyer experienced in elderlaw could be the best choice. The link is only to the assets requirements.
Medicaid's Asset Rules | ElderLawAnswers
There are more specifics on the Q&A Page, here:
ElderLaw Answers
For those with substantial assets to protect, this would not apply.