One of the most common labium gestures is to employ the fundamental frequency cancellation to cover the interval between two sounds. This will create a beautiful effect of continuity between different pitches:
The reopening of the labium has a natural graduate effect on sustained tones, while the double staccato must be performed with more graduality because the continuous repetition of onset tends to give labium gestures a feeling of sharper changes (of course this could be another musical gesture ...).