To those of us who don't own guns, these terms seem synonymous. For gun lovers, they are not. The use of the appropriate terms (i.e. framing) makes a big difference.
To gun owners, there are huge differences. Gun safety is a major positive for them as that is one of their major considerations with respect to responsible gun ownership.
On the other hand, Gun Control has major negative implications as it generates many Second Amendment issues including the possibility of gun confiscation.
Please use the term "Gun safety" instead of "Gun Control". If we can get everyone including the media using Gun Safety, our struggle to reduce gun violence will be easier.
My wife and I recently introduced a resolution on gun safety to an organization which included gun owners. It went sailing through. I am sure that if we had used the term "gun control", it would not have received such a positive response.