This is always going to be a contentious subject because no matter which way you swing it, someone runs a risk of feeling judged. Both sides have merit, but all parent will discover the day that their first child starts school that the ideal of control every aspect of your childs upbringing is an illusion.

I am not going to repeat what Trillian and Inanna have written better than I ever could, but I will add a final point of view to consider.

Think of it from the perspective of a teen. Childrens logic centres (frontal lobe) is not fully developed so everything is taken in and judged at an emotional level. By removing the toy/show, you are saying to a child that I have already pre-judged you as an inherently violent person incapable of making reasonable choices in your life. And everyone knows with teens that the more you fight against it, the harder they will fight to do it. When it comes to drugs and alcohol we don't just say "No, thats it. No discussion, you will do as you are told" because we KNOW that will make them want to do it more. You discuss it with them reasonably. We don't need to wait for them to be teens to do that.

You could also be saying "I as a parent am incapable of guiding my children through life as it is and creating young adults who are capable of understanding right from wrong".

Again, no judgements - just some food for thought. I know we are all doing our very best for our children.