Other posters are correct that there is no automatic club access based on status. It never hurts to ask for complimentary access or to pay a fee to be added, but in my experience they rarely extend it on a complimentary basis. There is a benefit on the Ritz Carlton credit card that allows for club level access (3 certificates per year), but it can be difficult to book (have to call and ask and it takes awhile for the agents to get it done) and sometimes increases the price.

Of note, I have recently been booking other travel and two agents have tried to tell me that I get club level access but then when I ask them to double check because it is a Ritz Carlton, they admit that is not the case. Frustrating when they do not know their own policies.