Yes, there is some rise from the left foot in the forward natural. But it is not so much a lifting, as a continuation of the almost ballistic patch established by a swing - the left leg doesn't have to lift very much, it mostly just has to follow through on an upward trend that has already been launched. Because you close your feet and the body essentially stops for an instant, the rise must be high enough to absorb all of the energy that was previously in the form of travel.
In a whisk you also create a swing from the end of step one, but instead of aiming to close stationary at the end of three, you aim flatter so that you will coast over step two (you should not be able to stop on step 2 when you dance it fully) and compress into step three.