rexsior Thanks for sending us the video and the Spine project. I finally understand your problem.
First, one very important thing: Skin bones are not used to hide attachments. It may be painful to know this fact now, since your project is probably fine to some extent, but you need to understand that your way of setting the skins is itself out of the way of how the Skins feature is intended to be used.
In your case, you should split the skins like this:
Head skins such as eyes can be used for any gender, but if you want different colors for a completely different shape, as shown in the file you sent, you will need a skin for each combination of shape and color.
If you want to avoid needing a different skin for each gender, you can use one of the images as a base, set the mesh and weights to create the different physiques, add a transform constraint to the bones used for that mesh deformation, and then add that constraint to the skin. For example, if you were creating a skin based entirely on a male, you could change the position of the shoulder and waist bones to create a different physique for the female skin. However, this approach can make the skeleton quite complex, so if you want to keep it simple, it is better to use the configuration shown in the image above. I think this image is not clear enough for you, so I will email you a spine project with the skin reconfigured.