No. Such stories usually involve private and often inappropriate sexual content which is not suitable for public discussion as it violates social and moral norms.
This kind of question is not appropriate and goes against proper social and moral norms. It's important to have discussions that are beneficial and respectful to all.
Such a description is quite extreme and objectifying. In a proper sex story, emphasis should be on consent, mutual respect, and emotional connection rather than using such demeaning terms.
In some cases, it could be a new and powerful enemy. This enemy might have the ability to manipulate chakra in a way that affects Naruto's mind. For example, they could send out waves of negative chakra that slowly erode Naruto's mental state. Over time, these attacks make Naruto go insane as he struggles to fight against this unseen and insidious force.
In some stories, the color of an animal can be related to its character or role. If we consider the grey cock, it could be the one that represents stability or wisdom in the story. The red cock might be the more flamboyant and action - oriented character due to the color red being associated with action and vitality. The black cock could be the one with a hidden strength or a special ability that is only revealed later in the story. But again, this is all speculation without the actual story.