Here's why:
* Atmospheric Scattering: Earth's atmosphere scatters blue light more effectively than other colors, which is why the sky appears blue. This scattering, known as Rayleigh scattering, also affects the appearance of stars near the horizon. However, this effect is minimal compared to the inherent color of the stars themselves.
* Star Color: The color of a star is determined by its temperature. Hotter stars emit more blue light, while cooler stars emit more red light. The Moon's atmosphere, even if similar to Earth's, wouldn't significantly alter the star's inherent color.
Therefore, even with a similar atmosphere, the stars near the Moon would still appear with their characteristic color based on their temperature, just like we see them from Earth.