Steven, everything is on a spectrum, to get track specific tires into an operating range requires a certain pace i.e. at one end Supercorsa SP's have a wide operating range that most people can utilize but not race level grip as opposed to MotoGP slicks at the other end of the spectrum are ultra sticky but the range is so narrow that only GP riders can keep them in the zone, even then a cool wind on a long straight makes the next corner entry a very sketchy affair.
Carbon wheels narrow the zone somewhat, i.e you have to keep the pace on to keep the heat in the tires but probably the most relevant is waiting in pit lane where the tires cool off pretty quickly. I wouldnt be in a rush to change them, just be aware of it on the outlap and dont cruise on the racing line