Or they could speciate. Dont quite follow this. I am only discussing mutations that mess up male courtship features. They have nothing to do with diet, predation etc. Effectively male traits might then be fixed, except for deleterious mutations.
Male traits are an indicator of viability.
That's a pity. I'm a big fan of chance. But, we are looking for trends that buck randomness or as Ad says we give up. One of these trends is that males are brighter than females. Another is that sibling species differ in male colour more than you'd expect by chance.