I mean if I have the stage collision (where the character poses) and the enemy's movement hits that (I mean the collision) as I can make the enemy follow their path or ignore the stage collision
Probably want to make use of collision layers and masks. https://docs.godotengine.org/en/stable/tutorials/physics/physics_introduction.html#collision-layers-and-masks
would it be more or less like this?
Layers and masks? Yeah something like that. Make sure you've named the layers and masks you use so you'd have an easier time using them in code though, too.
but is there something I don't understand, should it be the name of the collisions or I assign any name?
Whatever works for you, naming wise. So long you can keep track of what is what and there are no conflicts.