Final answer:
The claim in the statement is false; chaotic systems, including weather systems, are known for their extreme sensitivity to initial conditions, not insensitivity.
Step-by-step explanation:
The statement that weather systems are insensitive to small fluctuations in air pressure according to Chaos theory is false. Chaos theory actually postulates that systems such as weather are highly sensitive to initial conditions, a concept popularly known as the butterfly effect. This implies that even very small changes in air pressure can lead to vastly different outcomes making long-term weather forecasting extremely challenging.
In terms of Chaos theory, this sensitivity to initial conditions is a hallmark of chaotic systems, which can be found not just in meteorology but in various other fields such as economics, biology, and technology. Therefore, the unpredictability of weather systems indeed arises from their extreme sensitivity to tiny perturbations, contrary to what the statement suggests.