Either wrong or a lie. You are not expected to "fully drain all your assets." Your primary residency is completely excluded from means testing unless you don't intend to return to it or it's above an very high threshold - most of the country it's about 2.5-3x the median home price and it is higher in HCOL states.
I'd give you that, but in exchange, you'll have to agree that, if I'm renting, I shouldn't have to sell any financial assets less than, say, the median value of a house where I am.
I shouldn't have to sell my house to get medical care.