With throws, the height is again important. As for how lifts and throws fit into dancing, it depends on the music and the style. Doing a thrown double somersault in a Waltz wouldn't go, neither would a sash lift in a Rock'n'Roll competition. In my opinion, any lift done on a crowded dance floor is too dangerous - I don't go social dancing to get kicked in the face because somebody want to try out a new aerial lift. In competition it is different.
Most competitions ban all lifts and throws.
Drops tend to be allowed, or at least ignored by the judges. Rock'n'Roll at the highest level involves incredible throws like double somersaults, whereas Exhibition is based more around lifts. There is still a lot of dancing, you can't lift non-stop for 4 minutes, and you should still dance during a lift. I know that many people think that there are too many lifts in Exhibition dancing and that Rock'n'Roll is just like gymnastics. What is wrong with a dance style with more emphasis placed on the lifts and throws, that pushes the limits of what can be done on a dance floor while not being restricted just to dancing.