That is why you see runners with the gigantic air pockets on the bottom of each shoe. Running shoes are created so that both your heel and forefoot are extremely padded. There is thick tread on the bottom of the shoe to grab the road and avoid slipping. Also, because runners are normally only moving forward, the lateral ankle support of a high top is unnecessary. Aerobics students spend most of their time on the balls of their feet while performing lots of side to side and twisting type moves.
Impact is similar to that of running during a high impact class.
These sneakers are made with lots of support in the forefoot, and are usually mid to high tops in order to help stabilize the ankles. Smooth tread on the bottom in order to prevent catching your foot while performing twisting and pivoting movements. Thus, the high top and smooth tread. This sport is particularly rough on the ankles, due to lots of twisting and sidestepping. Extra support for the bottom of the foot is also a priority for lots of running up and down the court.