... "leg drive" isn't far behind in terms of irrelevance.
The purpose of the legs is to push and extend the hips. No more, no less. This is why even guys like Monfils with verified vertical jumps in training over the 40" mark lift all of about three inches off the ground on a serve. Jumping doesn't play into it.
Leg drive is not at all irrelevant. Andy Roddick was a huge fan of a decent knee bend and a good leg drive to achieve an easy access to power -- with reduced stress to the shoulder.
Studies have shown that a proper leg drive will
increase ESR (external shoulder rotation) which has the effect of
stretching the internal rotator muscles (which will be released later on the upward swing). We referenced such a study 2-3 years ago on TT. In addition to increasing ESR, a properly-timed leg drive achieves this with
less stress to the shoulder according to the study.
We see a similar effect with baseball pitchers. However, since they are throwing in a horizontal, slightly downward, direction, their leg drive is in a forward direction. This leg drive is achieved with a long stride with the non-dominant leg. As they take this stride, the (upper) torso also uncoils toward the batter. This leg drive, along with the uncoiling action, produces an incredible amount of ESR.
With the tennis serve, our throwing motion (of the racquet head) is in a steep upward direction. Therefore, our leg drive and uncoiling also happens in an upward (and somewhat fwd) direction. The effect of these actions is to produce a greater ESR (deeper racket head drop) and stretch of the internal rotators. All with reduced stress to the shoulder -- since the shoulder is not forcing the drop itself.
How much one comes off the ground as a result of leg drive is dependent on a number of factors. If I employ a generous knee bend but my leg drive is relatively slow, I will not come off the ground at all. However, if I start that leg drive a split second later and drive upward at a faster rate, I will come off the ground.
Another factor that dictates how much one comes off the ground is the amount of Type IIa and Type IIx (
fast twitch) muscle fibers an athlete has in their legs (feet & hips).
Players are not necessarily jumping just for the sake of jumping. They come off the ground because of the timing and degree of their leg drive. One good reason for coming off the ground is to achieve a
higher contact point. This will allow a player to easily access more of the service box -- with a greater variety of angles.
This sort of thing is a frequently seen with badminton jump smashes. Badminton players are dealing with a relatively high net. They often become airborne with their smashes in order to be able to hit downward, at a steeper angle, into the court.