If you use identical pans one of titanium and one aluminum and set them on snow and pour the same amount of hot water in each, the titanium pan will melt through faster and the water will cool more quickly. The titanium is really thin, so listen to BZH and divide by thickness.

With a hot blue flame there is little effect of color, but with an orange flame like from a white gas stove, a black pan may heat 10% faster.

These are my own opinions based on wisdom earned through many wrong decisions. Your mileage may vary.