I read your abstract with the outlying data, read a different abstract, different conclusion, posted the global suicide rates which demonstrate your study doesn't really pass a sanity check.
Overall poor association globally with suicide rates and gun ownership.
Then you pivot to "but culture". How many suicides exactly will be stopped by your policy (which will never happen because it's unconstitutional.)
If you want to save a bunch of lives, ban sugar and fast food. Twice as many die from diabetes than suicide.
Trying to pretend there's anything remotely 'scientific' about comparing suicide rates between completely different countries and societies is absurd. Comparisons of global suicide rates like that say nothing at all about the topic at hand.
You'd need to look at the effect of changes in the availability of means, within a given society/nation.
There's evidence that easy access to the means of suicide has an effect on overall suicide rates.
E.g. the switch from "town gas" to natural gas in the domestic gas supply here appeared to reduce the suicide rate.
Likewise, the changes in rules about selling economy-size bottles of paracetamol seemed to reduce the suicide rates
Objective To evaluate the long term effect of legislation limiting the size of packs of analgesics sold over the counter.Design Before and after study.Setting Suicides in England and Wales, data from six liver units in England and Scotland and five general ...
www.ncbi.nlm.nih.gov
On the other hand, this study claims to find no reduction in suicide rates from the Australian gun ban (and claims that previous studies that claimed to do so were flawed).
Objectives. To investigate the impact of the Australian National Firearms Agreement (NFA) on suicide and assault mortality.Methods. We conducted a retrospective cross-sectional difference-in-difference study of the impact of the NFA on national mortality ...
www.ncbi.nlm.nih.gov
I am sure it's complicated (did guns play the same cultural role in Australia that they do in the US?) and hard to put precise numbers on, but the evidence clearly suggests that a lot of suicides are impulsive acts and the likelihood of someone acting is greatly influenced by having a reliable method right there at hand when the desire is at its strongest.
I think there's also evidence that suicide rates tend to be higher in professions that have access to the means, e.g. medical workers (drugs) or farmers (shotguns or pesticides).