It makes perfect sense. I’ve observed the exact same behavior and inadvertently put myself in place of the rooster at times. We have a couple nesting boxes on our back porch, in addition to several in the coop. Frequently I will reward a hen singing the egg song with a treat of mealworms and she immediately stops singing. I thought she was just wanting the treat but now I see what was going on. My real roosters rush to the coop whenever one of the girls sing and immediately mate with her. In both situations it has only been when they were laying away from the rest of the flock. Great article!
I think a great many people who keep free range chickens have observed similar behaviour but haven't put theory and obsevation together.