What if he's not dead?
Then you wouldn't be inheriting anything in the legal sense of the word. That's why it's a contrived scenario -- it doesn't exist in reality.
Besides, the point is moot, as Medicaid nursing home care isn't Medicaid medical care, which is what the original topic was about.
My parents were nurses, they weren't completely poor so they surely had to pay for it, but not rich either.
The government here heavily subsidizes the healthcare plans of people near poverty (up to 4 times the poverty level), not just the poor.