Too much neck bend can lead to pinched nerves in your neck, over time. That can cause not only neck pain, but also hand numbness. Ask me how I know.
What is your use? If you’re not racing, why tuck down so low? If touring or utility riding, get an upright setup.
IMO, this position is another case of racer wannabe. Aim for comfort. Aim for long term health. But if you really want the aero advantage, be aware of the risks.