"The results of these tests suggest that the NFA did not have any large effects on reducing firearm homicide or suicide rates."[61]"
"The implemented restrictions may not be responsible for the observed reductions in firearms suicide. Data suggest that a change in social and cultural attitudes could have contributed to the shift in method preference.[60]"
Also, prior to enacting gun control, Australia's non-firearm suicide rate doubled (1980-1996) while firearm suicide was cut in half.
Not sure there is any correlation.