My assumptions that a regulator is a one way pressure control valve. So if last shot you take is at a cold temperature then much later you take your next shot at a much higher temperature the pressure in the plenum will be higher than the regulator's set pressure by the ratio of (273+C1)/(273+C0). The shot will be faster. If you do the reverse last shot at a warm temp. followed by the next at colder temperature the shot may not be slower because an ideal regulator will just let more air into the plenum correcting the pressure drop. However the temp. difference has to be significant as defined the equation. If this is the case then in some cases what is called regulator creep can be pressure changes due to temperature changes.