This isn't obviously the case (if you consider gun homicide, which is arguably more important since strictly more people are killed than just in mass shootings):
https://hwfo.substack.com/p/everybodys-lying-about-the-link-...> Gun Murder Rate is not correlated with firearm ownership rate in the United States, on a state by state basis. Firearm Homicide Rate is not correlated with guns per capita globally. It’s not correlated with guns per capita among peaceful countries, nor among violent countries, nor among European countries.