The animal has near nothing to do with eye color. It depends on the color light lense you use. All eyes will appear red or reddish with a red lense. If you are using no lense then the eyes appear white. All you see when you pick up eyes is your light reflecting back at you.
My experience so far has been bobcat and alligator eyes reflect the most light out of commonly seen game at night. But yes, they will reflect the color that is aimed at them.