Faster air in and of itself does not have lower pressure than the atmosphere around it. I've experimented with it and it just ain't so. Try rolling up a piece of newspaper into a tube and blow through it. If faster air has less pressure it should collapse but it doesn't. Now roll it into a shallow funnel and blow through the smaller end. What happens and why?Lower pressure because it is moving faster.
Do you know why the slipstream from a propeller contracts in diameter after leaving the prop?