A 'Skilled Nursing Facility" is also known as a ........drum roll here......NURSING HOME! You are simply parsing marketing terms here. Anyone in the business of senior care knows to use the term 'skilled nursing' to the clients and their families. All the CCRC's I am aware have facilities all the way up to skilled care, memory care, and most now have palliative care. But please don't say the word 'nursing home' anywhere within earshot on their property!
Most facilities have certain rooms certified for the way they are billed. Someone may return from the hospital and stay 30 days in one room, and then be moved literally five doors down the hall to a different room based on where the payment comes from.
A skilled care unit can be stand alone, combined with assisted living, or many other combinations. None of these setups are such that you can predict the level of care. Check the Health Dept records in your state; you will find med errors reported at the most expensive facilities out there. It happens.
To most people, the term Nursing Home is still valid and used, usually alluding to the reputation they have earned from the warehousing in the past. Sadly, there are still places like that out there.