I never considered staying at a Concierge room until our recent stay at the Charleston Place, through the CC. We got upgraded to concierge level (it's even better when you don't pay for it!) It really was a treat. We felt like special guests of the hotel the whole time. Free drinks right outside our door all day, food whenever we wanted it. Staff knew our names.
I'm not sure if we'd pay the extra points for it or not, but we will sure be tempted.