The color can come from a mix of absorption and scattering effects. The color of a nanoparticle solution can come from oxidized states, sub-products, etc., so I don't think the color by itself will tell you any useful information if you have not done any further measurements.
I believe that various colors can indeed impact the final properties of objects. This is because different colors correspond to distinct absorption wavelengths and potentially varying material sizes. All of these factors combined can influence the properties of the end products. Are there any transmission electron microscopy (TEM) or field-emission scanning electron microscopy (FESEM) images available for the contrasting samples in question? In summary, I am confident that color certainly has an effect on properties, as there exists a deeper story associated with the color itself.