The static pressure in a free jet stream is equal to the static pressure in the environmental atmosphere regardless of the streaming velocity of the jet. This can be shown by classroom experiments. Acceleration of air is caused by pressure gradients.
Air is accelerated in direction of the velocity if the pressure goes down.
Thus the decrease of pressure is the cause of a higher velocity. It is wrong to say that a lower pressure is caused by a higher velocity. Pressure gradients perpendicular to the streamlines are caused by the deflection of streaming air. The deflection of air generates regions of lower and higher pressure according to the curvature of the streamlines. Vaporizer, the soaring ping-pong ball as well as the physics of flight are only to be explained regarding the acceleration perpendicular to the streamlines.