The paper investigates the impact of different computer-generated holography (CGH) algorithms on 3D perceptual realism in holographic near-eye displays. The authors build a full-color, high-quality holographic testbed and conduct user studies to evaluate various CGH supervision formats, including 2.5D RGB-depth maps, 3D focal stacks, and 4D light fields. The results show that CGH algorithms designed for specific viewpoints significantly lag in achieving 3D realism, while light field holograms consistently outperform other formats across different viewing conditions. The study highlights the importance of incorporating parallax cues in CGH rendering to enhance the overall quality of the holographic experience. The findings provide guidelines for creating perceptually realistic 3D holographic scenes and represent a significant step towards delivering a realistic 3D experience with holographic near-eye displays.The paper investigates the impact of different computer-generated holography (CGH) algorithms on 3D perceptual realism in holographic near-eye displays. The authors build a full-color, high-quality holographic testbed and conduct user studies to evaluate various CGH supervision formats, including 2.5D RGB-depth maps, 3D focal stacks, and 4D light fields. The results show that CGH algorithms designed for specific viewpoints significantly lag in achieving 3D realism, while light field holograms consistently outperform other formats across different viewing conditions. The study highlights the importance of incorporating parallax cues in CGH rendering to enhance the overall quality of the holographic experience. The findings provide guidelines for creating perceptually realistic 3D holographic scenes and represent a significant step towards delivering a realistic 3D experience with holographic near-eye displays.