The paper presents an interesting study that how the user surfing behavior with respect to the organization of a Web space affects the performance of a prefetch enabled proxy. We have conducted experiments based on a novel hyperspace aware prefetch proxy and have studied the prefetch performance on tree and complete graph. The study assesses the system's responsiveness as well as the background loads for various user interaction duration, surfing and prefetch sequences. The results show that awareness about the Web space and surfing sequence can greatly help in improving prefetch performance. Schemes such as these also conversely may enable professional content developers to create prefetch friendly collection for increased site responsiveness.