Joysticks N sliders question with multiples comps

Hello! I have a rigged character that is setup like this:
- There is a primary comp in which you add your art to each body part and then adjust the spacing and position with some sliders;

- There are multiple precomps with preset animations that automatically get updated with the art I added to this primary comp above;

- When creating the head, I used a precomp, instead of a flat layer, so that I could rig the head, eyes, mouth, etc using Joysticks and Sliders.

- In my Main comp, I use the premade animation compositions in the order I want and I pushed the controls of the Head rig to this comp.

However, when I started animating the head, i noticed a problem. If I add, for example, a blink animation at 1s in the Main comp, I noticed that a blink happens at 1 second in every other premade animation. Everything I animate at the main comp gets replicated in all the other comps that have the head. I thought the controllers would affect only the Main comp, since i've pushed them there. 

What am I missing here? How can I animate the head and face only in the main comp, and not in every comp that uses the Head?