Will the colour change over time?
Yes! Extreme exposure from the sun can alter the shade of the bamboo flooring.
For example, if there is a mat on a section of bamboo flooring which has extreme exposure to the sun (without any protection), after sometime the mat is lifted and will leave a noticeable difference in appearance from the exposed and unexposed bamboo flooring.
However, this is an extreme circumstance. Your bamboo flooring throughout the home may slightly darken or lighten, but the difference will not be noticeable by the naked eye.