I think the size of the comb matters too. A Leghorn's single comb is usually much larger than a Plymouth Rock's single comb.Straight comb is a well known positive trait as it allows heat to be diffused into the air.
Considering which breeds usually lay white eggs, and which breeds usually lay brown eggs, I don't think the egg color itself is likely to be important.You will find this one a bit strange, but there are suggestions that white egg layers have advantages in a hot climate over brown layers.
But white eggs are most often laid by chicken breeds who have the other traits you named as helpful in hot weather. And brown eggs are most often laid by chicken breeds who have at least some of the opposite traits.
Of course there are a few exceptions (like Dorkings and Penedesencas, who have the egg color backwards of what their other traits would suggest), but in general sorting them by egg color will also sort them for many other physical traits. The Mediterranean breeds tend to be heat-tolerant and lay white eggs, while most others tend to be less heat tolerant and lay brown eggs.