They don't. Here are the states with the highest violent crime rates since 2020

Alaska

New Mexico

Tennessee

Arkansas

Arizona

Louisiana

Missouri

South Carolina

South Dakota

Michigan

With the exception of city and locale ordinances, every single one of them has open carry without a permit for handguns except South Carolina, which requires a permit. Every single one of them also has open carry without a permit for long guns except Tennessee, which permits them only while hunting.