How does that work, timing-wise?
Like my partner and I are in our mid-30s and both have parents who own houses, and with good luck with their health there won't be anything to inherit for several more decades.
https://www.schwab.com/learn/story/estate-tax-and-lifetime-g...
Obviously that's more beneficial to people with a lot of assets than to someone with less, but for instance, a parent might choose to gift the house they live in to their children well prior to end of life care being a consideration (of course that will be very situational; do they want to stay in that house, do they have a good relationship, etc., etc.).
Medicaid won't consider the primary residence when examining assets to pay for care, but it may try to capture some of the estate after death.
Buy a house outright or just afford the down-payment? Those are 2 very different things.