There is no right or wrong answer when it comes to choosing the color of your projector screen. It all depends on personal preference and what will work best in your specific space. That said, there are some pros and cons to both white and grey screens that you should take into consideration before making your final decision.
White screens are known for providing high contrast ratIOS, which can be beneficial if you're projecting in a room with lots of ambient light. They also tend to produce more vibrant colors than grey screens. However, white screens can also produce a washout effect if not calibrated correctly, resulting in less-defined images.
Grey screens provide better overall image quality than white screens, but they don't offer the same level of contrast. Grey screens also tend to be less noticeable in rooms with lots of natural light, making them a good option if you want your projector setup to blend in with its surroundings. The main downside to grey screens is that they can sometimes make colors appear muted or washed out.