I think he meant by hotter faster air, it was in reguards to the pressurized air entering that tiny throttle body.
About the turbulent air, when hot air expands say.... as much as just a cutout allows it, the result is the loss in streamline of airflow. The air is flowing down a nice smooth path from the turbo then into the open. Think of it like throwing a rock in a pool, the pulses of exhaust gas also help to pull themselves out of the way of the fresh hot pulses. If you just have everything going to open atmosphere eventually the ripples probably disrupt the smooth air flow from the turbo. (why nobody runs an open turbo without some type of DP) Think even race drag cars have some nice pipe exiting somewhere..