You should be able to perform skills well on both sides unless you have experienced an injury, trauma, or something else that would impact one side and not the other. Some single sided sport athletes do additional work with the side not involved in the sport to even things out.
Have you identified the cause of the inversion in your right foot?
Could it original at your hip?
This will help to address the situation.
Have you address the right ankle at all?
Pro Episode # 44: The Last 25% of Your Ankle Restriction (Snatches and Pistols here we come!)
Free Your Heel, Free Your Mind
Ankle Positional Fault Fix: Jill Miller Style
Squat Quick Test: Is it your Ankles or Hips?
Introducing the Bone Saw: Calf Smash Redux
Case Study: Tight Ankles = Bad Squatting