I believe that is true in many states, Lexie and firebolt. My former sil is in the memory care section of an assisted living facility because she has early alzheimer's. She is in her late 60's. The facility is several thousand dollars a month, so she is definitely going to run out of money. My nephew has applied to the facility for a medicare slot for her when one is available.
Not something to count on, but definitely a possibility.