I have an issue with the term gun deaths. Its really irrelevant IMO. Take the USA and some other country with very strict gun laws, or even no guns at all, country X.
USA has 800 gun deaths, 100 knife deaths, 50 bat deaths, and 50 rock deaths.
Country X has 100 gun deaths, 500 knife deaths, 300 bat deaths and 100 rock deaths.
Taking a holistic approach to violence is the only way to get reasonable data imo.