A different style of dance is hip-hop. Hip-Hop has a very fast tempo and strong hitting moves. In order to do the strong hitting moves and not slip, you will need sneakers. Sneakers are the most recommended shoes for hip-hop because they let you stop your movement and protect your feet from hitting the ground too hard. Sneakers will let you absorb the floor when you need to jump and land hard. If you were to wear turners for hip-hop, you can slip and not be able to stop your momentum after a fast move.
Another style of dance is ballet. Ballet has a very slow tempo, and shows elegant moves. In ballet every move flows into the other, however, there are also moves where you have to stop yourself and hold your position. In ballet, you would usually use point shoes. Point shoes enable you to go on your toes and reach your highest releve. Point shoes display your feet and show how hard you've worked on them. They are mainly used to unveil your arch and point that you worked so hard for. If you try to use point shoes for any other style of dance, you won't be able to do the moves. Point shoes are meant to allow you to go on your highest releve, and not meant for walking or doing anything else. It's harder to walk regularly, than to walk on your toes.