Did you even look at your first link? It says that you're more likely to be killed by the police than in a mass shooting. And while it says that "Gun violence is a leading cause of death in America ", it's actually pretty far down their list.
And the only restrictions on gun control research have been on the CDC conducting fake research designed to promote gun control. The CDC has always been able to research the causes of gun violence. But they've only wanted to promote gun control.
And note that 5 of the 6 countries listed as accounting for half the global firearm deaths in 2016 already have very strict gun laws. Obviously, they don't work as well as you want them to. Other factors are much more important. As for suicides and guns, Japan, with very strict gun laws, until very recently had a suicide rate that was typically higher than our combined homicide and suicide rates. You don't need a gun to commit suicide.
Overall, that first link is focused solely on guns, there's no indication that any of their proposed measures had an effect on the total homicide rate. Note that Vermont, with virtually no gun control laws and constitutional carry, is typically one of the safest states in the country. Now your 3rd link talks a lot about the Brady Bill and how many failed the background checks. However, it's a felony for most of those to even try and buy a gun. Yet almost none of them are ever prosecuted for that. Of course, background checks don't do anything about the black market, except to give it even more customers. And there's no way to require a permit to purchase on the black market. The only way to legally buy a gun online is to have it shipped to a local FFL, who will have you go through the NICS background check.
So a lot of wishful thinking and disinformation.
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I am an FFL dealer. I had a detective in my shop investigating murder. A suspected murderer was denied purchase of a firearm months earlier. At that moment the suspect had committed a felony just for lying in the 4473 federal firearm form. ATF only prosecutes a fraction of these type crimes so this guy was not arrested. He is suspected of shooting to death a man he believed to be a rival gang member but it turn out to be a case of mistaken identity. So an innocent man is dead because laws already on the books are not being prosecuted.
Note this suspect was denied because he had a felony conviction. He robbed at gun point a group of people. He should have been in jail for that but the prosecutors reduced the charge allowing this man to go free after only 7 months.
Had FDLE, HCSO, and TPD all telling us that a handful of thugs are committing the vast majority of gun offenses. Most having priors that prevent legal possession or purchase.
Knowing and proving beyond reasonable doubt is difficult with few witnesses willing to break the ghetto code of silence.