A properly executed T& G requires that the (flying) airplane be landed properly, and promptly reconfigured for a take-off immediately: the mixture and prop (if so equipped) should already be up, so it's a matter of throttle, flap retraction, carb heat (if so equipped), and re-trimming. At the same time, the pilot must scan the engine instruments to verify that take-off power is being developed, Granted, it happens quickly, but it represents a learn-able skill set for those so inclined to develop it. For those who might not like the pressure of a reconfiguration "on the fly," full-stop is an entirely acceptable solution. I like T & G for the time savings (as in: maximizing practice per flying hour).
I understand the limitations of the maneuver, and I've certainly seen it practiced as a Crash and Dash, unfortunately. Not all desire or are capable of integrating these two dangerous flight maneuvers.